We look at the division of 586601 by 57 
Let's see how many times 57 fits into 586601.

Advancing to step 1:
When dividing 5 by 57, we get 0 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.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 57

Step 2:
The number 57 fits into 58 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 1 after subtracting 57 from 58.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 57

Going ahead to step 3:
16 divided by 57 is 0 with a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 16 and we're left with 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 57

Advancing to step 4:
166 divided by 57 is 2 with a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 102.0
If we take 114 away from 166, we end up with 52.
Grab the next digit (0) from the dividend, add it to 52, then carry on: 520 / 57

Moving on to step 5:
520 divided by 57 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 1029.0
If we take 513 away from 520, we end up with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 57

Let's proceed to step 6:
When dividing 71 by 57, we get 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 10291.0
Deduct 57 from 71 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
If we divide 140 by 57, we get 2 and a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 10291.2
Subtract 114 from 140 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
57 can be fit into 260 4 times, resulting in a remainder of 32.
The next digit of our result is 4. 
Result so far: 10291.24
Subtract 228 from 260 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
57 goes into 320 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 10291.245
If we take 285 away from 320, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 10:
The number 57 fits into 350 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 10291.2456
Subtract 342 from 350 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
The number 57 fits into 80 1 times, leaving a remainder of 23.
The next digit of our result is 1. 
Result so far: 10291.24561
If we take 57 away from 80, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 12:
When dividing 230 by 57, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 10291.245614
If we subtract 228 from 230, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
57 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 10291.245614
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
If we divide 200 by 57, we get 3 and a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 10291.24561403
If we take 171 away from 200, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

In conclusion, the division gives 10291.24561403 with a balance of 2.9e-08.