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Perform the long division: [tex]\( 5 \div 576 \)[/tex].

Sagot :

Sure, let's break down the long division of 576 by 5 step-by-step:

1. Setup the long division:
We write 576 as the dividend and 5 as the divisor.

```
5 | 576
```

2. Divide the first digit:
We take the first digit of the dividend (5) and determine how many times 5 can go into 5. It goes exactly 1 time.

```
1
5 | 576
-5
```

3. Subtract and bring down the next digit:
Subtract 5 from 5, which gives us 0. Then, bring down the next digit, 7.

```
15
5 | 576
-5
07
```

4. Divide the new number:
Now, determine how many times 5 can go into 7. It goes 1 time.

```
11
5 | 576
-5
07
-5
```

5. Subtract and bring down the next digit:
Subtract 5 from 7, which gives us 2. Then, bring down the final digit, 6.

```
115
5 | 576
-5
07
-5
26
```

6. Divide the new number:
Determine how many times 5 can go into 26. It goes 5 times.

```
115
5 | 576
-5
07
-5
26
-25
```

7. Subtract to find the remainder:
Subtract 25 from 26, which gives us 1.

```
115
5 | 576
-5
07
-5
26
-25
1
```

The quotient of the division is 115, and the remainder is 1.

Thus, the result of dividing 576 by 5 is 115 with a remainder of 1.