2608 divided by 4

Daniel Parker

less than a minute read

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17-03-2025

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Solving the Division Problem: 2608 Divided by 4

This article will walk you through how to solve the division problem: 2608 divided by 4 (2608 ÷ 4). We'll break down the process step-by-step, making it easy to understand, even if you're new to long division.

Understanding the Problem

The problem 2608 ÷ 4 asks: "How many times does 4 go into 2608?" We'll use long division to find the answer.

Step-by-Step Solution using Long Division

Here's how to solve 2608 ÷ 4 using long division:

1. Set up the problem: Write the dividend (2608) inside the long division symbol (⟌) and the divisor (4) outside.

   4 ⟌ 2608
   

2. Divide the first digit: Start by dividing the first digit of the dividend (2) by the divisor (4). Since 2 is smaller than 4, we move to the next digit.

3. Divide the first two digits: Now divide 26 by 4. 4 goes into 26 six times (4 x 6 = 24). Write the 6 above the 6 in 2608.

      6
   4 ⟌ 2608
   

4. Subtract and bring down: Subtract 24 from 26, which leaves 2. Bring down the next digit (0) to make the number 20.

      6
   4 ⟌ 2608
      -24
       20
   

5. Divide again: Divide 20 by 4. 4 goes into 20 five times (4 x 5 = 20). Write the 5 above the 0 in 2608.

      65
   4 ⟌ 2608
      -24
       20
       -20
        0
   

6. Subtract and bring down: Subtract 20 from 20, leaving 0. Bring down the last digit (8).

      65
   4 ⟌ 2608
      -24
       20
       -20
        08
   

7. Final division: Divide 8 by 4. 4 goes into 8 two times (4 x 2 = 8). Write the 2 above the 8 in 2608.

      652
   4 ⟌ 2608
      -24
       20
       -20
        08
        -8
         0
   

8. The answer: Since there's no remainder, the answer is 652.

Therefore, 2608 divided by 4 is 652.

Checking Your Work

To verify your answer, multiply the quotient (652) by the divisor (4): 652 x 4 = 2608. This confirms our calculation is correct.

This step-by-step guide demonstrates how to perform long division. Understanding long division is a fundamental skill in mathematics with many applications.