Long Division: 9999899 ÷ 150

How to divide 9999899 by 150 using long division and find the remainder?

Answer: 9999899 ÷ 150 = 66665 remainder 149
9999899 ÷ 150 = 66665 remainder 149

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 9999899 ÷ 150 using long division method step by step:

Step 1:Take the number 999 and divide by 150. We get 6 (write it in the quotient). Multiply 6 × 150 = 900 (write it below the dividend). Subtract 999 - 900 = 99. The remainder 99 is carried to the next step.
Step 2:Take the number 999 and divide by 150. We get 6 (write it in the quotient). Multiply 6 × 150 = 900 (write it below the dividend). Subtract 999 - 900 = 99. The remainder 99 is carried to the next step.
Step 3:Take the number 998 and divide by 150. We get 6 (write it in the quotient). Multiply 6 × 150 = 900 (write it below the dividend). Subtract 998 - 900 = 98. The remainder 98 is carried to the next step.
Step 4:Take the number 989 and divide by 150. We get 6 (write it in the quotient). Multiply 6 × 150 = 900 (write it below the dividend). Subtract 989 - 900 = 89. The remainder 89 is carried to the next step.
Step 5:Take the number 899 and divide by 150. We get 5 (write it in the quotient). Multiply 5 × 150 = 750 (write it below the dividend). Subtract 899 - 750 = 149. The remainder 149 is carried to the next step.
Final Step:The remainder 149 is smaller than the divisor 150, so the division is complete. The final answer is 66665 with remainder 149.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
199966 × 150 = 900999 - 900 = 9999
299966 × 150 = 900999 - 900 = 9999
399866 × 150 = 900998 - 900 = 9898
498966 × 150 = 900989 - 900 = 8989
589955 × 150 = 750899 - 750 = 149149

Final remainder: 149

Since 149 is less than 150, we cannot divide further. The final answer is 66665 with remainder 149.

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 9999899 by 150 using long division and find the remainder?

9999899 ÷ 150 = 66665 remainder 149