Long Division: 9974 ÷ 75

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 9974 by 75 using long division and find the remainder?

Answer: 9974 ÷ 75 = 132 remainder 74
9974 ÷ 75 = 132 remainder 74

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 9974 ÷ 75 using long division method step by step:

Step 1:Take the number 99 and divide by 75. We get 1 (write it in the quotient). Multiply 1 × 75 = 75 (write it below the dividend). Subtract 99 - 75 = 24. The remainder 24 is carried to the next step.
Step 2:Take the number 247 and divide by 75. We get 3 (write it in the quotient). Multiply 3 × 75 = 225 (write it below the dividend). Subtract 247 - 225 = 22. The remainder 22 is carried to the next step.
Step 3:Take the number 224 and divide by 75. We get 2 (write it in the quotient). Multiply 2 × 75 = 150 (write it below the dividend). Subtract 224 - 150 = 74. The remainder 74 is carried to the next step.
Final Step:The remainder 74 is smaller than the divisor 75, so the division is complete. The final answer is 132 with remainder 74.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
19911 × 75 = 7599 - 75 = 2424
224733 × 75 = 225247 - 225 = 2222
322422 × 75 = 150224 - 150 = 7474

Final remainder: 74

Since 74 is less than 75, we cannot divide further. The final answer is 132 with remainder 74.

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 9974 by 75 using long division and find the remainder?

9974 ÷ 75 = 132 remainder 74

See Also