Long Division: 100.125 ÷ 3.75

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 100.125 by 3.75 using long division and find the remainder?

Answer: 100.125 ÷ 3.75 = 26 remainder 2625
100.125 ÷ 3.75 = 26 remainder 2625

Converting Decimals to Integers

First, we convert the numbers to integers by multiplying both dividend and divisor by 1000:

100.125 × 1000 = 100125(dividend)
3.75 × 1000 = 3750(divisor)

Now we can perform long division with these whole numbers:

Visual Long Division

 
 
 
 
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This shows the traditional long division layout used in schools, with each step clearly marked.

Step-by-Step Explanation

Here's how to solve 100.125 ÷ 3.75 using long division method step by step:

Step 1:Take the number 10012 and divide by 3750. We get 2 (write it in the quotient). Multiply 2 × 3750 = 7500 (write it below the dividend). Subtract 10012 - 7500 = 2512. The remainder 2512 is carried to the next step.
Step 2:Take the number 25125 and divide by 3750. We get 6 (write it in the quotient). Multiply 6 × 3750 = 22500 (write it below the dividend). Subtract 25125 - 22500 = 2625. The remainder 2625 is carried to the next step.
Final Step:The remainder 2625 is smaller than the divisor 3750, so the division is complete. The final answer is 26 with remainder 2625.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
11001222 × 3750 = 750010012 - 7500 = 25122512
22512566 × 3750 = 2250025125 - 22500 = 26252625

Final remainder: 2625

Since 2625 is less than 3750, we cannot divide further. The final answer is 26 with remainder 2625.

About Long Division

Long division is a method for dividing large numbers that breaks down the division process into smaller, manageable steps. It's taught in elementary school as a systematic way to perform division by hand.

The process involves:

  • Dividing the leftmost digits of the dividend by the divisor
  • Writing the quotient digit above the dividend
  • Multiplying the quotient digit by the divisor
  • Subtracting this product from the current dividend portion
  • Bringing down the next digit and repeating the process

This method ensures accuracy and helps students understand the relationship between multiplication and division.

See Also

About "Long Division Calculator" Calculator

Long division calculator with step-by-step explanation. Enter dividend (e.g. '29224' or '58.5') and divisor (e.g. '4' or '1.25') to get detailed solution with visualization.

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

FAQ

How to divide 100.125 by 3.75 using long division and find the remainder?

100.125 ÷ 3.75 = 26 remainder 2625

See Also