Long Division: 875 ÷ 7

Long Division Calculator
Dividend (number to be divided)
Divisor (number to divide by)

How to perform long division of 875 by 7?

Answer

875 ÷ 7 = 125

✓ exact division

875 ÷ 7 = 125

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 875 ÷ 7 using long division method step by step:

Step 1:Take the number 8 and divide by 7. We get 1 (write it in the quotient). Multiply 1 × 7 = 7 (write it below the dividend). Subtract 8 - 7 = 1. The remainder 1 is carried to the next step.
Step 2:Take the number 17 and divide by 7. We get 2 (write it in the quotient). Multiply 2 × 7 = 14 (write it below the dividend). Subtract 17 - 14 = 3. The remainder 3 is carried to the next step.
Step 3:Take the number 35 and divide by 7. We get 5 (write it in the quotient). Multiply 5 × 7 = 35 (write it below the dividend). Subtract 35 - 35 = 0.
Final Step:The division is complete with no remainder. 875 divides exactly by 7 to give 125.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1811 × 7 = 78 - 7 = 11
21722 × 7 = 1417 - 14 = 33
33555 × 7 = 3535 - 35 = 00

Perfect division: 875 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.

Related Calculations

See Also

Long Division Calculator

Long division calculator with step-by-step explanation. Enter dividend and divisor to get a detailed solution with visualization. For example, it can help you find out how to perform long division of 875 by 7? (The answer is: The division of 875 by 7 is exact. Result: 875 ÷ 7 = 125.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Recalculate with different values ↑

Long Division Table

DivisionQuotientRemainder
777 ÷ 71110
784 ÷ 71120
805 ÷ 71150
819 ÷ 71170
826 ÷ 71180
847 ÷ 71210
861 ÷ 71230
875 ÷ 71250
938 ÷ 71340
959 ÷ 71370
1,000 ÷ 71426
1,001 ÷ 71430
1,876 ÷ 72680
2,842 ÷ 74060
10,000 ÷ 71,4284

FAQ

How to perform long division of 875 by 7?

875 ÷ 7 = 125

Is 875 divisible by 7?

Yes, 875 is divisible by 7. The result is 125.

How to check the result of 875 ÷ 7?

Multiply the quotient 125 by the divisor 7. The result should equal 875.

See Also