Long Division Problem: Dividing 42513 by 3 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

00:04 Let's start by dividing the leftmost digit in the dividend

00:07 Write the result without the remainder above

00:10 Now multiply the result by the divisor

00:13 Subtract the product from the digit

00:17 Now bring down the next digit and use the same steps

00:22 Divide

00:26 Write the result above, paying attention to position

00:29 Multiply the result, subtract

00:34 Now bring down the next digit and use the same steps

00:37 Divide

00:42 Write the result without the remainder above, paying attention to position

00:45 Multiply the result, subtract

00:53 Now bring down the next digit and use the same steps

00:56 Divide

00:59 Write the result above, paying attention to position

01:04 Multiply the result, subtract

01:12 Now bring down the next digit and use the same steps

01:17 Divide

01:21 Write the result above, paying attention to position

01:25 Multiply the result, subtract

01:29 We got a remainder of 0

01:33 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will perform long division of the number 42513 by 3 step by step:

Step 1: Look at the first digit of 42513, which is 4. Divide 4 by 3, which gives 1. Write 1 as the first digit of the quotient.
Step 2: Multiply 1 by 3 (the divisor) to get 3. Subtract 3 from 4, leaving 1.
Step 3: Bring down the next digit, 2, making the new number 12.
Step 4: Divide 12 by 3, which equals 4. Write 4 as the next digit in the quotient.
Step 5: Multiply 4 by 3 to get 12 and subtract from 12, leaving 0.
Step 6: Bring down the next digit, 5, making the new number 5.
Step 7: Divide 5 by 3, which gives 1. Write 1 in the quotient.
Step 8: Multiply 1 by 3 to get 3 and subtract from 5, leaving 2.
Step 9: Bring down the next digit, 1, making the new number 21.
Step 10: Divide 21 by 3, which equals 7. Write 7 in the quotient.
Step 11: Multiply 7 by 3 to get 21 and subtract from 21, leaving 0.
Step 12: Bring down the final digit, 3.
Step 13: Divide 3 by 3, which equals 1. Write 1 in the quotient.
Step 14: Multiply 1 by 3 to get 3 and subtract from 3, leaving 0.

Thus, the division is complete, and there is no remainder. The quotient of 42513 divided by 3 is $14171$ .

Therefore, the solution to the problem is $14171$ .