583668 ÷ 57 
We want to figure out the number of times 583668 can be divided by 57.

Step 1:
5 divided by 57 is 0 with a remainder of 5.
The next digit of our result is 0. 
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

Advancing to step 2:
If we divide 58 by 57, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 57 from 58 to get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 57

Moving on to step 3:
When dividing 13 by 57, we get 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 13 after subtracting 0 from 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 57

Going ahead to step 4:
If we divide 136 by 57, we get 2 and a remainder of 22.
The next digit of our result is 2. 
Result so far: 102.0
Subtracting 114 from 136 leaves us with 22.
Grab the next digit (6) from the dividend, add it to 22, then carry on: 226 / 57

On to step 5:
57 can be fit into 226 3 times, resulting in a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 1023.0
Deduct 171 from 226 and we're left with 55.
Fetch the next digit (8) from the dividend, attach it to 55 and continue: 558 / 57

Advancing to step 6:
If we divide 558 by 57, we get 9 and a remainder of 45.
Use 9 as the next digit of our solution. 
Result so far: 10239.0
If we subtract 513 from 558, we 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.

On to step 7:
450 divided by 57 is 7 with a remainder of 51.
Write down 7 as next digit of the result. 
Result so far: 10239.7
Subtract 399 from 450 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Moving on to step 8:
510 divided by 57 is 8 with a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 10239.78
Subtracting 456 from 510 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 9:
540 divided by 57 is 9 with a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 10239.789
Subtracting 513 from 540 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 10:
The number 57 fits into 270 4 times, leaving a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 10239.7894
Deduct 228 from 270 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 11:
The number 57 fits into 420 7 times, leaving a remainder of 21.
The next digit of our result is 7. 
Result so far: 10239.78947
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.

Moving on to step 12:
If we divide 210 by 57, we get 3 and a remainder of 39.
The number 3 becomes the next digit in our result. 
Result so far: 10239.789473
The remainder is 39 after subtracting 171 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 13:
57 can be fit into 390 6 times, resulting in a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 10239.7894736
The remainder is 48 after subtracting 342 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 14:
When dividing 480 by 57, we get 8 with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 10239.78947368
Deduct 456 from 480 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 10239.78947368 and a remainder of 2.4e-08.