Long Division

Long division is a step-by-step method for dividing large numbers. It helps you break down a big division problem into smaller, easier steps.

🛎 Let’s use long division to divide 364 by 30

1. Set it up:
   • 364 is the dividend (the number being divided).
   • 30 is the divisor (the number you’re dividing by).
     
     
2. Divide the first digits:
   • 30 goes into 36 once.
   • Write 1 above the 6 in the quotient area.
   • Multiply: 1 × 30 = 30
   • Subtract: 36 − 30 = 6
     
     
3. Bring down the next digit (4):
   • Now you have 64.
     
     
4. Divide again:
   • 30 goes into 64 two times.
   • Write 2 in the quotient
   • Multiply: 2 × 30 = 60
   • Subtract: 64 − 60 = 4
     
     
5. Result:
   • As there are no more digits to bring down, so 12 is the quotient, and 4 is the remainder.
   • So: 364 ÷ 30 = 12 R 4

🛎 How To Check Your Long Division Answer:

To check your long-division answer, use this formula:

$$ \text{Quotient} \times \text{Divisor} + \text{Remainder} = \text{Dividend} $$

For example, you solved:

$$ 364 \div 30 = 12\ \text{R}\ 4$$

Let’s identify each part:

• Dividend = 364 → the number being divided
• Divisor = 30 → the number you’re dividing by
• Quotient = 12 → how many whole times 30 fits into 364
• Remainder = 4 → what’s left over

Substitute the numbers:

$$ 12 \times 30 + 4 = 360 + 4 = 364$$

It matches the original number (364), so the division is correct! ✅