2164 divided by 4

Breiz Heurope

2 min read

·

10-03-2025

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This article provides a clear and concise explanation of how to solve the division problem 2164 divided by 4, using long division. We'll break down the process step-by-step to make it easy to understand, regardless of your math background. Learning long division is a fundamental skill in arithmetic, and this example perfectly illustrates the process.

Understanding Long Division

Long division is a method used to divide large numbers into smaller, more manageable parts. It involves a series of steps that systematically break down the division problem. We'll use the standard long division algorithm to solve 2164 ÷ 4.

Solving 2164 Divided by 4

Let's dive into solving the problem 2164 divided by 4 using the step-by-step method of long division:

1. Set up the problem: Write the dividend (2164) inside the long division symbol (⟌) and the divisor (4) outside.

   4⟌2164
   

2. Divide the first digit: Begin 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 21 by 4. 4 goes into 21 five times (4 x 5 = 20). Write the 5 above the 1 in 2164.

      5
   4⟌2164
   

4. Subtract and bring down: Subtract 20 from 21, which leaves 1. Bring down the next digit (6) to create the number 16.

      5
   4⟌2164
      20
      --
       16
   

5. Divide and subtract again: Divide 16 by 4. 4 goes into 16 four times (4 x 4 = 16). Write the 4 above the 6 in 2164. Subtract 16 from 16, which leaves 0.

      54
   4⟌2164
      20
      --
       16
       16
       --
        0
   

6. Bring down the last digit: Bring down the last digit (4) to create the number 4.

      54
   4⟌2164
      20
      --
       16
       16
       --
        04
   

7. Final division: Divide 4 by 4. 4 goes into 4 one time (4 x 1 = 4). Write the 1 above the 4 in 2164. Subtract 4 from 4, leaving 0.

      541
   4⟌2164
      20
      --
       16
       16
       --
        04
        04
        --
         0
   

8. The quotient: The number at the top (541) is the quotient. This means that 2164 divided by 4 equals 541.

Therefore, the answer to 2164 divided by 4 is $\boxed{541}$.

Checking Your Work

It's always a good idea to check your answer. Multiply the quotient (541) by the divisor (4): 541 x 4 = 2164. Since this matches the original dividend, our answer is correct.

This detailed explanation should help anyone understand how to perform long division. Remember to practice to build your skills and confidence! If you have any other division problems you'd like help with, feel free to ask!