$ 3514 $ with a remainder of 10

$ 1514 $ with a remainder of 2

$ 2136 $ with a remainder of 12

Solve Division Problem: 21350 ÷ 20

Q: What if I get confused about which digit to bring down next?

Always work left to right through the dividend (the number being divided). Bring down one digit at a time in order, just like reading!

Q: Can the remainder be bigger than the divisor?

No! If your remainder is 20 or larger when dividing by 20, you can divide at least one more time. The remainder must always be smaller than the divisor.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Let's start by dividing the leftmost digit in the divisor

00:07 2 is less than 20, so we'll add the next digit, and then divide

00:11 Write the result without the remainder above, pay attention to the position

00:14 Now multiply the result by the divisor

00:20 Subtract the product from the number

00:24 Now bring down the next digit and use the same steps

00:27 Divide

00:30 Write the result without the remainder above, pay attention to the position

00:33 Multiply the result, and subtract

00:38 Now bring down the next digit and use the same steps

00:42 Divide

00:47 Write the result without the remainder above, pay attention to the position

00:52 Multiply the result, and subtract

01:02 Now bring down the next digit and use the same steps

01:05 Divide

01:09 Write the result without the remainder above, pay attention to the position

01:14 Multiply the result, and subtract

01:23 We got a remainder of 10

01:28 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

2

Step-by-step solution

To solve this problem, we'll perform a long division of 21350 by 20:

Step 1: Divide 21 (the first two digits of 21350) by 20. This gives us a quotient of 1. Multiply 1 by 20 and subtract from 21 to get a remainder of 1.
Step 2: Bring down the next digit (3) from the dividend, making it 13. The current number is now 13. Divide 13 by 20, which gives a quotient of 0. Bring down the next digit (5), making it 135.
Step 3: Divide 135 by 20, which gives a quotient of 6. Multiply 6 by 20 to get 120, and subtract from 135 to have a remainder of 15.
Step 4: Bring down the final digit (0), making it 150. Divide 150 by 20, which yields a quotient of 7. Multiply 7 by 20 to get 140. Subtract from 150 to leave a remainder of 10.

The entire division gives us a quotient of 1067 and a remainder of 10.

To verify: Multiply the quotient 1067 by 20 to get 21340, then add the remainder 10 to get back to the original dividend 21350.

Therefore, the solution to the problem is $1067$ with a remainder of 10.

3

Final Answer

$1067$ with a remainder of 10

Key Points to Remember

Essential concepts to master this topic

Process: Divide step-by-step, bringing down one digit at a time
Technique: 21 ÷ 20 = 1 remainder 1, then bring down 3 to make 13
Check: Multiply quotient by divisor plus remainder: 1067 × 20 + 10 = 21350 ✓

Common Mistakes

Avoid these frequent errors

Skipping zeros in the quotient
Don't ignore when a digit won't divide evenly and skip writing zeros = missing place values! This creates quotients like 167 instead of 1067. Always write a zero in the quotient when the current number is smaller than the divisor.

Practice Quiz

Test your knowledge with interactive questions

FAQ

Everything you need to know about this question

What do I do when the number is smaller than what I'm dividing by?

+

When you can't divide (like 13 ÷ 20), write 0 in your quotient and bring down the next digit. This keeps all place values in the right position!

How do I know when to stop dividing?

+

Stop when you've brought down all digits from the original number. The remaining number that won't divide evenly becomes your remainder.

Why do I need to check my answer?

+

Checking catches mistakes! Multiply your quotient by the divisor, then add the remainder. You should get back to your original number.

What if I get confused about which digit to bring down next?

+

Always work left to right through the dividend (the number being divided). Bring down one digit at a time in order, just like reading!

Can the remainder be bigger than the divisor?

+

No! If your remainder is 20 or larger when dividing by 20, you can divide at least one more time. The remainder must always be smaller than the divisor.

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Solve Division Problem: 21350 ÷ 20

Long Division with Remainder Calculations

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