Solve Division Problem: 21350 ÷ 20

Video Solution

Solution Steps

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 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.