Solve Division Problem: 21350 ÷ 20

2021350

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Step-by-step video solution

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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

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1

Understand the problem

2021350

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 1067 with a remainder of 10.

3

Final Answer

1067 1067 with a remainder of 10

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