We're dividing 876517 by 68 
We want to figure out the number of times 876517 can be divided by 68.

Step 1:
The number 68 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 68

On to step 2:
68 can be fit into 87 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 68 from 87, we get 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 68

Going ahead to step 3:
68 goes into 196 2 times with a remainder of 60.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 136 from 196 to get 60.
Fetch the next digit (5) from the dividend, attach it to 60 and continue: 605 / 68

Advancing to step 4:
If we divide 605 by 68, we get 8 and a remainder of 61.
The next digit of our result is 8. 
Result so far: 128.0
Subtracting 544 from 605 leaves us with 61.
Append the next digit (1) from the dividend to 61 and continue with: 611 / 68

Advancing to step 5:
The number 68 fits into 611 8 times, leaving a remainder of 67.
The next digit of our result is 8. 
Result so far: 1288.0
Deduct 544 from 611 and we're left with 67.
Append the next digit (7) from the dividend to 67 and continue with: 677 / 68

Going ahead to step 6:
677 divided by 68 is 9 with a remainder of 65.
Record the quotient 9 as the next digit in the result. 
Result so far: 12889.0
If we take 612 away from 677, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 7:
If we divide 650 by 68, we get 9 and a remainder of 38.
Write down 9 as next digit of the result. 
Result so far: 12889.9
If we subtract 612 from 650, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
68 can be fit into 380 5 times, resulting in a remainder of 40.
The next digit of our result is 5. 
Result so far: 12889.95
Subtract 340 from 380 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
When dividing 400 by 68, we get 5 with a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 12889.955
If we take 340 away from 400, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The quotient of the division is 12889.955, and the remainder is 0.006.