We divide 17734 by 57
We want to figure out the number of times 17734 can be divided by 57.

Step 1:
When dividing 1 by 57, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 57

On to step 2:
57 goes into 17 0 times with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Include the next digit (7) from the dividend after 17, then repeat: 177 / 57

On to step 3:
177 divided by 57 is 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 6 after subtracting 171 from 177.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 57

Let's proceed to step 4:
57 can be fit into 63 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 31.0
Subtracting 57 from 63 leaves us with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 57

On to step 5:
64 divided by 57 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 311.0
Subtract 57 from 64 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 6:
When dividing 70 by 57, we get 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 311.1
Subtract 57 from 70 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
If we divide 130 by 57, we get 2 and a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 311.12
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
57 can be fit into 160 2 times, resulting in a remainder of 46.
Use 2 as the next digit of our solution. 
Result so far: 311.122
Deduct 114 from 160 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

The quotient of the division is 311.122, and the remainder is 0.0046.