long division 2 digit divisor 2-digit dividend 4√6581

Let's solve \( 6581 \div 4 \) using long division.

### Step 1: Divide the first digit
- The first digit is 6. We divide \( 6 \div 4 = 1 \), with a remainder of 2.
- Write 1 above the 6. Now, subtract \( 1 \times 4 = 4 \) from 6, leaving a remainder of 2. Bring down the next digit, 5.

### Step 2: Divide the next number
- Now, divide \( 25 \div 4 = 6 \), with a remainder of 1.
- Write 6 above the 5. Now, subtract \( 6 \times 4 = 24 \) from 25, leaving a remainder of 1. Bring down the next digit, 8.

### Step 3: Divide the next number
- Now, divide \( 18 \div 4 = 4 \), with a remainder of 2.
- Write 4 above the 8. Now, subtract \( 4 \times 4 = 16 \) from 18, leaving a remainder of 2. Bring down the next digit, 1.

### Step 4: Divide the last number
- Finally, divide \( 21 \div 4 = 5 \), with a remainder of 1.
- Write 5 above the 1. Now, subtract \( 5 \times 4 = 20 \) from 21, leaving a remainder of 1.

### Answer:
- The quotient is 1645, and the remainder is 1.
- So, \( 6581 \div 4 = 1645 \) with a remainder of 1.

Do you have any questions or need further clarification?

Here are 5 related problems:
1. Divide 7532 by 6 using long division.
2. Solve \( 5678 \div 5 \).
3. Perform long division for \( 8329 \div 8 \).
4. Divide \( 4923 \div 7 \).
5. Solve \( 7236 \div 9 \).

**Tip:** Always align your numbers carefully when performing long division to avoid mistakes.

Learn how to solve 6581 divided by 4 using long division in this detailed, step-by-step solution. The problem demonstrates dividing multi-digit numbers with remainders and is perfect for students in Grades 4-6.

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