680003 ÷ 57 
We're looking to find how many times 57 goes into 680003.

Moving on to step 1:
57 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 57

Step 2:
If we divide 68 by 57, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 57 from 68 and we're left with 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 57

Step 3:
110 divided by 57 is 1 with a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 57 from 110 to get 53.
Append the next digit (0) from the dividend to 53 and continue with: 530 / 57

Advancing to step 4:
When dividing 530 by 57, we get 9 with a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 119.0
The remainder is 17 after subtracting 513 from 530.
Fetch the next digit (0) from the dividend, attach it to 17 and continue: 170 / 57

Moving on to step 5:
170 divided by 57 is 2 with a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 1192.0
The remainder is 56 after subtracting 114 from 170.
Take the next digit (3) from the dividend and append it to 56, then repeat: 563 / 57

Going ahead to step 6:
The number 57 fits into 563 9 times, leaving a remainder of 50.
The number 9 becomes the next digit in our result. 
Result so far: 11929.0
Subtract 513 from 563 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 7:
If we divide 500 by 57, we get 8 and a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 11929.8
If we take 456 away from 500, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 8:
If we divide 440 by 57, we get 7 and a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 11929.87
The remainder is 41 after subtracting 399 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 9:
The number 57 fits into 410 7 times, leaving a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 11929.877
Subtracting 399 from 410 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 11929.877 with a remaining 0.0011.