We look at the division of 583698 by 57 
We want to figure out the number of times 583698 can be divided by 57.

Advancing to step 1:
57 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 57

On to step 2:
If we divide 58 by 57, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 57 from 58 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 57

Going ahead to step 3:
The number 57 fits into 13 0 times, leaving a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 13 to get 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 57

Moving on to step 4:
57 goes into 136 2 times with a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 102.0
Deduct 114 from 136 and we're left with 22.
Include the next digit (9) from the dividend after 22, then repeat: 229 / 57

Let's proceed to step 5:
When dividing 229 by 57, we get 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 1024.0
If we subtract 228 from 229, we get 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 57

Step 6:
57 can be fit into 18 0 times, resulting in a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 10240.0
Deduct 0 from 18 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 7:
When dividing 180 by 57, we get 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 10240.3
Subtracting 171 from 180 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 8:
57 can be fit into 90 1 times, resulting in a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 10240.31
The remainder is 33 after subtracting 57 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 9:
The number 57 fits into 330 5 times, leaving a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 10240.315
Subtract 285 from 330 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 10:
57 goes into 450 7 times with a remainder of 51.
Put 7 as the next digit of the answer. 
Result so far: 10240.3157
Deduct 399 from 450 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 11:
If we divide 510 by 57, we get 8 and a remainder of 54.
The next digit of our result is 8. 
Result so far: 10240.31578
The remainder is 54 after subtracting 456 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 12:
57 goes into 540 9 times with a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 10240.315789
The remainder is 27 after subtracting 513 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 13:
The number 57 fits into 270 4 times, leaving a remainder of 42.
Use 4 as the next digit of our solution. 
Result so far: 10240.3157894
The remainder is 42 after subtracting 228 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 14:
If we divide 420 by 57, we get 7 and a remainder of 21.
The next digit of our result is 7. 
Result so far: 10240.31578947
Deduct 399 from 420 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final outcome is 10240.31578947, with a leftover of 2.1e-08.