Long Division: 100.75 ÷ 1

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 100.75 by 1 using long division and find the remainder?

Answer: 100.75 ÷ 1 = 100 remainder 75
100.75 ÷ 1 = 100 remainder 75

Converting Decimals to Integers

First, we convert the numbers to integers by multiplying both dividend and divisor by 100:

100.75 × 100 = 10075(dividend)
1 × 100 = 100(divisor)

Now we can perform long division with these whole numbers:

Visual Long Division

 
 
 
0
0
1
0
0
1
0
0
1
0
0
7
5
 
 
 
−
1
0
0
 
 
 
 
 
 
 
0
7
 
 
 
 
 
 
 
7
5

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

Step-by-Step Explanation

Here's how to solve 100.75 ÷ 1 using long division method step by step:

Step 1:Take the number 100 and divide by 100. We get 1 (write it in the quotient). Multiply 1 × 100 = 100 (write it below the dividend). Subtract 100 - 100 = 0.
Step 2:Number 7 is less than divisor 100, so we write 0 in the quotient and move to the next digit.
Step 3:Number 75 is less than divisor 100, so we write 0 in the quotient and move to the next digit.
Final Step:The remainder 75 is smaller than the divisor 100, so the division is complete. The final answer is 100 with remainder 75.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
110011 × 100 = 100100 - 100 = 00
2700 × 100 = 07 - 0 = 77
37500 × 100 = 075 - 0 = 7575

Final remainder: 75

Since 75 is less than 100, we cannot divide further. The final answer is 100 with remainder 75.

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 100.75 by 1 using long division and find the remainder?

100.75 ÷ 1 = 100 remainder 75

See Also