Long Division: 749 ÷ 7

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to perform long division of 749 by 7?

Answer: 749 ÷ 7 = 107✓ exact division
749 ÷ 7 = 107

Visual Long Division

 
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7
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7
4
9
 
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7
 
 
 
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4
 
 
 
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4
9
 
 
 
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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 749 ÷ 7 using long division method step by step:

Step 1:Take the number 7 and divide by 7. We get 1 (write it in the quotient). Multiply 1 × 7 = 7 (write it below the dividend). Subtract 7 - 7 = 0.
Step 2:Number 4 is less than divisor 7, so we write 0 in the quotient and move to the next digit.
Step 3:Take the number 49 and divide by 7. We get 7 (write it in the quotient). Multiply 7 × 7 = 49 (write it below the dividend). Subtract 49 - 49 = 0.
Final Step:The division is complete with no remainder. 749 divides exactly by 7 to give 107.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1711 × 7 = 77 - 7 = 00
2400 × 7 = 04 - 0 = 44
34977 × 7 = 4949 - 49 = 00

Perfect division: 749 divides evenly by 7 with no remainder.

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 perform long division of 749 by 7?

749 ÷ 7 = 107 ✓ exact division

See Also