Question

how can you perform division with long numbers

Answer 1

make it a short summary

Answer 2

Performing division with long numbers involves using the long division method. Here's a step-by-step guide to help you understand how to do it:

### Step-by-Step Long Division

1. **Set Up the Division**: Write the dividend (the number you want to divide) under the long division symbol and the divisor (the number you are dividing by) outside, to the left.

2. **Divide**: Look at the leftmost digit (or group of digits) of the dividend. Determine how many times the divisor can fit into that number without exceeding it.

3. **Multiply**: Multiply the divisor by the quotient you just determined in the previous step. Write this result under the dividend.

4. **Subtract**: Subtract this result from the portion of the dividend you are working with. Write the result below.

5. **Bring Down the Next Digit**: Bring down the next digit from the dividend to the right of the subtraction result to form a new number.

6. **Repeat**: Repeat the process (divide, multiply, subtract, and bring down the next digit) until you have brought down all the digits from the dividend.

7. **Remainder**: If you reach a point where the divisor can no longer fit into the number you have (after bringing down all digits), you can either stop there or write the remaining number as a remainder. To express this, you would write your final answer followed by "R" and the remainder, or continue dividing to add decimal points.

### Example of Long Division

Let’s look at an example: Divide 12345 by 67.

1. **Set Up**:
```
____
67 | 12345
```

2. **First Division**:
- How many times does 67 fit into 123? It fits 1 time.

3. **Multiply**:
- 67 x 1 = 67

4. **Subtract**:
```
____
67 | 12345
- 67
------
56
```

5. **Bring Down**:
- Bring down the next digit (4), making it 564.

6. **Repeat**:
- How many times does 67 fit into 564? It fits 8 times (since 67 x 8 = 536).
```
____
67 | 12345
- 67
------
564
- 536
------
28
```

7. **Bring Down Next Digit**:
- Bring down the last digit (5), making it 285.

8. **Final Division**:
- How many times does 67 fit into 285? It fits 4 times (since 67 x 4 = 268).
```
____
67 | 12345
- 67
------
564
- 536
------
285
- 268
------
17
```

### Final Result:
The quotient is 184 with a remainder of 17. You could express that as:
- **184 R17** or as a decimal if you continue dividing:
- 17 divided by 67 is approximately 0.25, so you could express the quotient as **184.25**.

This method can be applied to any long numbers, and with practice, you can get more comfortable performing long division quickly!

Answer 3

**Long Division Summary:**

1. **Set Up**: Write the dividend (number to be divided) under the long division symbol and the divisor (number doing the dividing) outside.

2. **Divide**: Determine how many times the divisor fits into the leftmost part of the dividend.

3. **Multiply**: Multiply the divisor by the quotient.

4. **Subtract**: Subtract this result from the current number.

5. **Bring Down**: Bring down the next digit from the dividend.

6. **Repeat**: Continue the process of dividing, multiplying, subtracting, and bringing down until you’ve used all digits.

7. **Remainder**: If you can't divide anymore, either stop or express as a remainder or decimal.

**Example**: For 12345 ÷ 67, the result is 184 with a remainder of 17 or approximately 184.25 if expressed as a decimal.