Long Division: 5499999 ÷ 75

How to divide 5499999 by 75 using long division and find the remainder?

Answer: 5499999 ÷ 75 = 73333 remainder 24
5499999 ÷ 75 = 73333 remainder 24

Visual Long Division

 
 
0
0
7
3
3
3
3
7
5
5
4
9
9
9
9
9
 
 
5
2
5
 
 
 
 
 
 
 
2
4
9
 
 
 
 
 
 
2
2
5
 
 
 
 
 
 
 
2
4
9
 
 
 
 
 
 
2
2
5
 
 
 
 
 
 
 
2
4
9
 
 
 
 
 
 
2
2
5
 
 
 
 
 
 
 
2
4
9
 
 
 
 
 
 
2
2
5
 
 
 
 
 
 
 
2
4

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

Step-by-Step Explanation

Here's how to solve 5499999 ÷ 75 using long division method step by step:

Step 1:Take the number 549 and divide by 75. We get 7 (write it in the quotient). Multiply 7 × 75 = 525 (write it below the dividend). Subtract 549 - 525 = 24. The remainder 24 is carried to the next step.
Step 2:Take the number 249 and divide by 75. We get 3 (write it in the quotient). Multiply 3 × 75 = 225 (write it below the dividend). Subtract 249 - 225 = 24. The remainder 24 is carried to the next step.
Step 3:Take the number 249 and divide by 75. We get 3 (write it in the quotient). Multiply 3 × 75 = 225 (write it below the dividend). Subtract 249 - 225 = 24. The remainder 24 is carried to the next step.
Step 4:Take the number 249 and divide by 75. We get 3 (write it in the quotient). Multiply 3 × 75 = 225 (write it below the dividend). Subtract 249 - 225 = 24. The remainder 24 is carried to the next step.
Step 5:Take the number 249 and divide by 75. We get 3 (write it in the quotient). Multiply 3 × 75 = 225 (write it below the dividend). Subtract 249 - 225 = 24. The remainder 24 is carried to the next step.
Final Step:The remainder 24 is smaller than the divisor 75, so the division is complete. The final answer is 73333 with remainder 24.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
154977 × 75 = 525549 - 525 = 2424
224933 × 75 = 225249 - 225 = 2424
324933 × 75 = 225249 - 225 = 2424
424933 × 75 = 225249 - 225 = 2424
524933 × 75 = 225249 - 225 = 2424

Final remainder: 24

Since 24 is less than 75, we cannot divide further. The final answer is 73333 with remainder 24.

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.

FAQ

How to divide 5499999 by 75 using long division and find the remainder?

5499999 ÷ 75 = 73333 remainder 24