Long Division: 489 ÷ 8

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

How to divide 489 by 8 using long division and find the remainder?

Answer

489 ÷ 8 = 61 remainder 1
489 ÷ 8 = 61 remainder 1

Visual Long Division

 
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6
1
8
4
8
9
 
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4
8
 
 
 
0
9
 
 
 
−
8
 
 
 
1

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

Step-by-Step Explanation

Here's how to solve 489 ÷ 8 using long division method step by step:

Step 1:Take the number 48 and divide by 8. We get 6 (write it in the quotient). Multiply 6 × 8 = 48 (write it below the dividend). Subtract 48 - 48 = 0.
Step 2:Take the number 9 and divide by 8. We get 1 (write it in the quotient). Multiply 1 × 8 = 8 (write it below the dividend). Subtract 9 - 8 = 1. The remainder 1 is carried to the next step.
Final Step:The remainder 1 is smaller than the divisor 8, so the division is complete. The final answer is 61 with remainder 1.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
14866 × 8 = 4848 - 48 = 00
2911 × 8 = 89 - 8 = 11

Final remainder: 1

Since 1 is less than 8, we cannot divide further. The final answer is 61 with remainder 1.

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

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 divide 489 by 8 using long division and find the remainder? (The answer is: When dividing 489 by 8, we get quotient 61 and remainder 1. Result: 489 ÷ 8 = 61 remainder 1.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.

Long Division Table

DivisionQuotientRemainder
288 ÷ 8360
320 ÷ 8400
344 ÷ 8430
352 ÷ 8440
392 ÷ 8490
440 ÷ 8550
457 ÷ 8571
489 ÷ 8611
536 ÷ 8670
568 ÷ 8710
632 ÷ 8790
640 ÷ 8800
672 ÷ 8840
736 ÷ 8920
744 ÷ 8930

FAQ

How to divide 489 by 8 using long division and find the remainder?

489 ÷ 8 = 61 remainder 1

Is 489 divisible by 8?

No, 489 is not divisible by 8. The remainder is 1.

How to check the result of 489 ÷ 8?

Multiply the quotient 61 by the divisor 8 and add the remainder 1. The result should equal 489.