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

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 $14171$.