86008975 ÷ 683 
We want to figure out the number of times 86008975 can be divided by 683.

Moving on to step 1:
If we divide 8 by 683, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 683

On to step 2:
The number 683 fits into 86 0 times, leaving a remainder of 86.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 86, we end up with 86.
Take the next digit (0) from the dividend and append it to 86, then repeat: 860 / 683

Step 3:
When dividing 860 by 683, we get 1 with a remainder of 177.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 683 from 860, we get 177.
Append the next digit (0) from the dividend to 177 and continue with: 1770 / 683

Step 4:
683 goes into 1770 2 times with a remainder of 404.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we subtract 1366 from 1770, we get 404.
Include the next digit (8) from the dividend after 404, then repeat: 4048 / 683

Going ahead to step 5:
683 goes into 4048 5 times with a remainder of 633.
Put 5 as the next digit of the answer. 
Result so far: 125.0
If we subtract 3415 from 4048, we get 633.
Fetch the next digit (9) from the dividend, attach it to 633 and continue: 6339 / 683

Going ahead to step 6:
If we divide 6339 by 683, we get 9 and a remainder of 192.
Use 9 as the next digit of our solution. 
Result so far: 1259.0
The remainder is 192 after subtracting 6147 from 6339.
Bring next digit (7) of the dividend behind the 192 and repeat the process: 1927 / 683

Advancing to step 7:
683 can be fit into 1927 2 times, resulting in a remainder of 561.
The number 2 becomes the next digit in our result. 
Result so far: 12592.0
Subtract 1366 from 1927 to get 561.
Bring next digit (5) of the dividend behind the 561 and repeat the process: 5615 / 683

Step 8:
The number 683 fits into 5615 8 times, leaving a remainder of 151.
Use 8 as the next digit of our solution. 
Result so far: 125928.0
Deduct 5464 from 5615 and we're left with 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

Let's proceed to step 9:
When dividing 1510 by 683, we get 2 with a remainder of 144.
The number 2 becomes the next digit in our result. 
Result so far: 125928.2
If we subtract 1366 from 1510, we get 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Step 10:
683 can be fit into 1440 2 times, resulting in a remainder of 74.
The number 2 becomes the next digit in our result. 
Result so far: 125928.22
Deduct 1366 from 1440 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The quotient of the division is 125928.22, and the remainder is 0.074.