We're dividing 10 by 57 
Let's see how many times 57 fits into 10.

On to step 1:
1 divided by 57 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 57

Moving on to step 2:
The number 57 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 3:
The number 57 fits into 100 1 times, leaving a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 0.1
If we subtract 57 from 100, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 4:
If we divide 430 by 57, we get 7 and a remainder of 31.
The next digit of our result is 7. 
Result so far: 0.17
If we subtract 399 from 430, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 5:
When dividing 310 by 57, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 0.175
If we subtract 285 from 310, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 6:
57 goes into 250 4 times with a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 0.1754
If we take 228 away from 250, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
If we divide 220 by 57, we get 3 and a remainder of 49.
Record the quotient 3 as the next digit in the result. 
Result so far: 0.17543
If we take 171 away from 220, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 8:
When dividing 490 by 57, we get 8 with a remainder of 34.
Write down 8 as next digit of the result. 
Result so far: 0.175438
If we take 456 away from 490, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
The number 57 fits into 340 5 times, leaving a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 0.1754385
The remainder is 55 after subtracting 285 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 10:
When dividing 550 by 57, we get 9 with a remainder of 37.
Record the quotient 9 as the next digit in the result. 
Result so far: 0.17543859
The remainder is 37 after subtracting 513 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The final result is 0.17543859 with a remainder of 3.7e-08.