We look at the division of 102410 by 57 
We want to divide 102410 by 57.

On to step 1:
57 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 57

Step 2:
57 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 57

Moving on to step 3:
57 can be fit into 102 1 times, resulting in a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 57 away from 102, we end up with 45.
Bring next digit (4) of the dividend behind the 45 and repeat the process: 454 / 57

Advancing to step 4:
If we divide 454 by 57, we get 7 and a remainder of 55.
The next digit of our result is 7. 
Result so far: 17.0
If we subtract 399 from 454, we get 55.
Fetch the next digit (1) from the dividend, attach it to 55 and continue: 551 / 57

Step 5:
57 goes into 551 9 times with a remainder of 38.
The number 9 becomes the next digit in our result. 
Result so far: 179.0
If we take 513 away from 551, we end up with 38.
Bring next digit (0) of the dividend behind the 38 and repeat the process: 380 / 57

Going ahead to step 6:
If we divide 380 by 57, we get 6 and a remainder of 38.
Put 6 as the next digit of the answer. 
Result so far: 1796.0
Deduct 342 from 380 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 7:
The number 57 fits into 380 6 times, leaving a remainder of 38.
Write down 6 as next digit of the result. 
Result so far: 1796.6
If we take 342 away from 380, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 8:
The number 57 fits into 380 6 times, leaving a remainder of 38.
The next digit of our result is 6. 
Result so far: 1796.66
If we take 342 away from 380, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 1796.66, and the remainder is 0.038.