Long Division: 993 ÷ 7

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 993 by 7 using long division and find the remainder?

Answer: 993 ÷ 7 = 141 remainder 6
993 ÷ 7 = 141 remainder 6

Visual Long Division

 
1
4
1
7
9
9
3
 
−
7
 
 
 
2
9
 
 
−
2
8
 
 
 
1
3
 
 
 
−
7
 
 
 
6

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

Step-by-Step Explanation

Here's how to solve 993 ÷ 7 using long division method step by step:

Step 1:Take the number 9 and divide by 7. We get 1 (write it in the quotient). Multiply 1 × 7 = 7 (write it below the dividend). Subtract 9 - 7 = 2. The remainder 2 is carried to the next step.
Step 2:Take the number 29 and divide by 7. We get 4 (write it in the quotient). Multiply 4 × 7 = 28 (write it below the dividend). Subtract 29 - 28 = 1. The remainder 1 is carried to the next step.
Step 3:Take the number 13 and divide by 7. We get 1 (write it in the quotient). Multiply 1 × 7 = 7 (write it below the dividend). Subtract 13 - 7 = 6. The remainder 6 is carried to the next step.
Final Step:The remainder 6 is smaller than the divisor 7, so the division is complete. The final answer is 141 with remainder 6.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1911 × 7 = 79 - 7 = 22
22944 × 7 = 2829 - 28 = 11
31311 × 7 = 713 - 7 = 66

Final remainder: 6

Since 6 is less than 7, we cannot divide further. The final answer is 141 with remainder 6.

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 993 by 7 using long division and find the remainder?

993 ÷ 7 = 141 remainder 6

See Also