7903018 divided by 89 what is the answer step by step

7903018 divided by 89 what is the answer step by step

The correct answer and explanation is:

Sure! Let’s find the result of 7,903,018 divided by 89 step by step.

Step-by-step Long Division

Step 1: Set up the division:

• Dividend (number being divided): 7,903,018
• Divisor (number you divide by): 89

Step 2: Divide the first few digits

• Look at the first two digits: 79 (less than 89), so take first three digits: 790
• How many times does 89 go into 790?
  • 89 × 8 = 712
  • 89 × 9 = 801 (too big)
  So, 89 goes into 790 8 times.
• Write 8 on top.
• Multiply 8 × 89 = 712
• Subtract 712 from 790: 790 – 712 = 78

Step 3: Bring down the next digit

• Next digit after 790 is 3 (from 7,903,018), bring it down next to 78 → 783
• How many times does 89 go into 783?
  • 89 × 8 = 712
  • 89 × 9 = 801 (too big)
  So, 8 times again.
• Write 8 on top next to the previous 8 → 88
• Multiply 8 × 89 = 712
• Subtract 712 from 783: 783 – 712 = 71

Step 4: Bring down next digit

• Next digit is 0, bring down to 71 → 710
• How many times does 89 go into 710?
  • 89 × 7 = 623
  • 89 × 8 = 712 (too big)
  So, 7 times.
• Write 7 on top → 887
• Multiply 7 × 89 = 623
• Subtract 623 from 710: 710 – 623 = 87

Step 5: Bring down next digit

• Next digit is 1, bring down → 871
• How many times does 89 go into 871?
  • 89 × 9 = 801
  • 89 × 10 = 890 (too big)
  So, 9 times.
• Write 9 on top → 8879
• Multiply 9 × 89 = 801
• Subtract 801 from 871: 871 – 801 = 70

Step 6: Bring down next digit

• Next digit is 8, bring down → 708
• How many times does 89 go into 708?
  • 89 × 7 = 623
  • 89 × 8 = 712 (too big)
  So, 7 times.
• Write 7 on top → 88797
• Multiply 7 × 89 = 623
• Subtract 623 from 708: 708 – 623 = 85

Step 7: Bring down next digit

• Next digit is the last digit 8, bring down → 858
• How many times does 89 go into 858?
  • 89 × 9 = 801
  • 89 × 10 = 890 (too big)
  So, 9 times.
• Write 9 on top → 887979
• Multiply 9 × 89 = 801
• Subtract 801 from 858: 858 – 801 = 57

Result:

• Quotient = 88,7979 (actually, the digits we wrote on top: 8 8 7 9 7 9, which is 88,7979)
• Remainder = 57

Final answer:

7,903,018÷89=88,797 remainder 577,903,018 \div 89 = 88,797 \text{ remainder } 57

Or as a decimal (approximate):

Divide remainder 57 by 89: 5789≈0.64\frac{57}{89} \approx 0.64

So, 7,903,018÷89≈88,797.647,903,018 \div 89 \approx 88,797.64

Explanation (300 words)

Dividing a large number by another number using long division involves breaking the division into manageable parts.

First, you start by considering the leading digits of the dividend (the number being divided) that can accommodate the divisor (the number you divide by). Here, 89 cannot fit into 7 or 79, so we consider 790. We find how many times 89 fits into 790 without exceeding it. This is done by trial multiplication of the divisor by numbers close to the possible quotient digit.

After determining how many times the divisor fits, we multiply and subtract to find the remainder. The next digit of the dividend is brought down to the right of this remainder, creating a new number. This process repeats until all digits of the dividend have been used.

The number built on top during division is the quotient, while the last subtraction remainder is the leftover part which cannot be divided further without decimal points.

In this example, 7,903,018 divided by 89 yields a quotient of 88,797 and a remainder of 57. The remainder is less than the divisor, confirming the process’s correctness.

If decimal precision is desired, the remainder is divided by the divisor to get a decimal fraction, here approximately 0.64, meaning the full decimal quotient is approximately 88,797.64.

Long division helps understand the division process in detail and is foundational for learning division algorithms, especially before calculators were widely used.