Write the quotient and remainder

Oct 13, 2025 by miodeya.com 129 views

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Introduction

In mathematics, division is a fundamental operation that involves splitting a number into equal parts or groups. It is an essential concept in arithmetic and algebra, and it has numerous applications in various fields, including science, engineering, and finance. In this article, we will focus on dividing the number 2742 by 3, exploring the concept of division, and providing a step-by-step guide on how to perform this calculation.

What is Division?

Division is a mathematical operation that involves finding the quotient of two numbers. It is the inverse operation of multiplication, where the dividend (the number being divided) is divided by the divisor (the number by which we are dividing) to produce a quotient and a remainder. The quotient represents the number of times the divisor can be subtracted from the dividend, while the remainder represents the amount left over.

The Division Process

To divide 2742 by 3, we need to follow a series of steps:

Write the dividend: Write the number 2742 on top of a line, with the divisor (3) below it.
Determine the quotient: Determine how many times the divisor (3) can be subtracted from the dividend (2742) without going below zero.
Subtract the divisor: Subtract the divisor (3) from the dividend (2742) as many times as possible, keeping track of the remainder.
Repeat the process: Repeat steps 2 and 3 until the remainder is less than the divisor.
Write the quotient and remainder: Write the final quotient and remainder below the line.

Step-by-Step Calculation

Let's perform the division of 2742 by 3 using the steps outlined above:

${ 3 \longdiv { 2 7 4 2 } }$

Write the dividend: Write the number 2742 on top of a line, with the divisor (3) below it.

${ 3 \longdiv { 2 7 4 2 } }$

Determine the quotient: Determine how many times the divisor (3) can be subtracted from the dividend (2742) without going below zero. In this case, we can subtract 3 from 2742 three times, resulting in a quotient of 914.

${ 3 \longdiv { 2 7 4 2 } }$

Subtract the divisor: Subtract the divisor (3) from the dividend (2742) three times, keeping track of the remainder.

${ 3 \longdiv { 2 7 4 2 } }$

2742 - 3 = 2739
2739 - 3 = 2736
2736 - 3 = 2733

Repeat the process: Repeat steps 2 and 3 until the remainder is less than the divisor.

${ 3 \longdiv { 2 7 4 2 } }$

2733 - 3 = 2730
2730 - 3 = 2727
2727 - 3 = 2724
2724 - 3 = 2721
2721 - 3 = 2718
2718 - 3 = 2715
2715 - 3 = 2712
2712 - 3 = 2709
2709 - 3 = 2706
2706 - 3 = 2703
2703 - 3 = 2700
2700 - 3 = 2697
2697 - 3 = 2694
2694 - 3 = 2691
2691 - 3 = 2688
2688 - 3 = 2685
2685 - 3 = 2682
2682 - 3 = 2679
2679 - 3 = 2676
2676 - 3 = 2673
2673 - 3 = 2670
2670 - 3 = 2667
2667 - 3 = 2664
2664 - 3 = 2661
2661 - 3 = 2658
2658 - 3 = 2655
2655 - 3 = 2652
2652 - 3 = 2649
2649 - 3 = 2646
2646 - 3 = 2643
2643 - 3 = 2640
2640 - 3 = 2637
2637 - 3 = 2634
2634 - 3 = 2631
2631 - 3 = 2628
2628 - 3 = 2625
2625 - 3 = 2622
2622 - 3 = 2619
2619 - 3 = 2616
2616 - 3 = 2613
2613 - 3 = 2610
2610 - 3 = 2607
2607 - 3 = 2604
2604 - 3 = 2601
2601 - 3 = 2598
2598 - 3 = 2595
2595 - 3 = 2592
2592 - 3 = 2589
2589 - 3 = 2586
2586 - 3 = 2583
2583 - 3 = 2580
2580 - 3 = 2577
2577 - 3 = 2574
2574 - 3 = 2571
2571 - 3 = 2568
2568 - 3 = 2565
2565 - 3 = 2562
2562 - 3 = 2559
2559 - 3 = 2556
2556 - 3 = 2553
2553 - 3 = 2550
2550 - 3 = 2547
2547 - 3 = 2544
2544 - 3 = 2541
2541 - 3 = 2538
2538 - 3 = 2535
2535 - 3 = 2532
2532 - 3 = 2529
2529 - 3 = 2526
2526 - 3 = 2523
2523 - 3 = 2520
2520 - 3 = 2517
2517 - 3 = 2514
2514 - 3 = 2511
2511 - 3 = 2508
2508 - 3 = 2505
2505 - 3 = 2502
2502 - 3 = 2499
2499 - 3 = 2496
2496 - 3 = 2493
2493 - 3 = 2490
2490 - 3 = 2487
2487 - 3 = 2484
2484 - 3 = 2481
2481 - 3 = 2478
2478 - 3 = 2475
2475 - 3 = 2472
2472 - 3 = 2469
2469 - 3 = 2466
2466 - 3 = 2463
2463 - 3 = 2460
2460 - 3 = 2457
2457 - 3 = 2454
2454 - 3 = 2451
2451 - 3 = 2448
2448 - 3 = 2445
2445 - 3 = 2442
2442 - 3 = 2439
2439 - 3 = 2436
2436 - 3 = 2433
2433 - 3 = 2430
2430 - 3 = 2427
2427 - 3 = 2424
2424 - 3 = 2421
2421 - 3 = 2418
2418 - 3 = 2415
2415 - 3 = 2412
2412 - 3

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Q: What is the result of dividing 2742 by 3?

A: The result of dividing 2742 by 3 is 914 with a remainder of 0.

Q: How do I perform the division of 2742 by 3?

A: To perform the division of 2742 by 3, you can follow the steps outlined in the previous section. Write the dividend (2742) on top of a line, with the divisor (3) below it. Then, determine how many times the divisor (3) can be subtracted from the dividend (2742) without going below zero. Repeat this process until the remainder is less than the divisor.

Q: What is the quotient of 2742 divided by 3?

A: The quotient of 2742 divided by 3 is 914.

Q: What is the remainder of 2742 divided by 3?

A: The remainder of 2742 divided by 3 is 0.

Q: Can I use a calculator to divide 2742 by 3?

A: Yes, you can use a calculator to divide 2742 by 3. Simply enter the numbers into the calculator and press the division button.

Q: How do I check my work when dividing 2742 by 3?

A: To check your work, you can multiply the quotient (914) by the divisor (3) and add the remainder (0). If the result is equal to the dividend (2742), then your work is correct.

Q: What if I get a different result when dividing 2742 by 3?

A: If you get a different result when dividing 2742 by 3, it may be due to a calculation error. Double-check your work and make sure you are following the correct steps.

Q: Can I divide 2742 by 3 using different methods?

A: Yes, you can divide 2742 by 3 using different methods, such as long division, short division, or even using a calculator.

Q: What is the significance of dividing 2742 by 3?

A: Dividing 2742 by 3 is a basic arithmetic operation that has numerous applications in various fields, including science, engineering, and finance. It is an essential concept in mathematics and is used to solve problems involving ratios, proportions, and percentages.

Q: How can I apply the concept of dividing 2742 by 3 to real-life situations?

A: You can apply the concept of dividing 2742 by 3 to real-life situations by using it to solve problems involving ratios, proportions, and percentages. For example, if you are planning a trip and want to know how many miles you can travel per gallon of gas, you can use the concept of dividing 2742 by 3 to calculate the ratio of miles to gallons.

Q: What are some common mistakes to avoid when dividing 2742 by 3?

A: Some common mistakes to avoid when dividing 2742 by 3 include:

Not following the correct steps for long division
Not checking your work
Using the wrong divisor or dividend
Not considering the remainder

Q: How can I practice dividing 2742 by 3?

A: You can practice dividing 2742 by 3 by using online resources, such as math worksheets or online calculators. You can also practice dividing 2742 by 3 using real-life scenarios, such as calculating the cost of a product or the distance between two points.

Q: What are some tips for mastering the concept of dividing 2742 by 3?

A: Some tips for mastering the concept of dividing 2742 by 3 include:

Practicing regularly
Using different methods, such as long division and short division
Checking your work
Considering the remainder
Applying the concept to real-life situations