We look at the division of 17210743 by 676 
Our goal is to divide 17210743 by 676.

Step 1:
676 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 676

Advancing to step 2:
17 divided by 676 is 0 with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Take the next digit (2) from the dividend and append it to 17, then repeat: 172 / 676

Moving on to step 3:
676 goes into 172 0 times with a remainder of 172.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 172 after subtracting 0 from 172.
Include the next digit (1) from the dividend after 172, then repeat: 1721 / 676

Advancing to step 4:
676 can be fit into 1721 2 times, resulting in a remainder of 369.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 1352 from 1721 to get 369.
Grab the next digit (0) from the dividend, add it to 369, then carry on: 3690 / 676

Moving on to step 5:
If we divide 3690 by 676, we get 5 and a remainder of 310.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Subtracting 3380 from 3690 leaves us with 310.
Take the next digit (7) from the dividend and append it to 310, then repeat: 3107 / 676

Advancing to step 6:
676 goes into 3107 4 times with a remainder of 403.
Record the quotient 4 as the next digit in the result. 
Result so far: 254.0
If we subtract 2704 from 3107, we get 403.
Fetch the next digit (4) from the dividend, attach it to 403 and continue: 4034 / 676

Going ahead to step 7:
If we divide 4034 by 676, we get 5 and a remainder of 654.
Write down 5 as next digit of the result. 
Result so far: 2545.0
Subtracting 3380 from 4034 leaves us with 654.
Grab the next digit (3) from the dividend, add it to 654, then carry on: 6543 / 676

On to step 8:
676 can be fit into 6543 9 times, resulting in a remainder of 459.
The next digit of our result is 9. 
Result so far: 25459.0
Deduct 6084 from 6543 and we're left with 459.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4590, and continue the process.

Going ahead to step 9:
If we divide 4590 by 676, we get 6 and a remainder of 534.
Put 6 as the next digit of the answer. 
Result so far: 25459.6
Deduct 4056 from 4590 and we're left with 534.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5340, and continue the process.

Going ahead to step 10:
5340 divided by 676 is 7 with a remainder of 608.
Record the quotient 7 as the next digit in the result. 
Result so far: 25459.67
Subtracting 4732 from 5340 leaves us with 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

On to step 11:
The number 676 fits into 6080 8 times, leaving a remainder of 672.
Write down 8 as next digit of the result. 
Result so far: 25459.678
If we subtract 5408 from 6080, we get 672.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6720, and continue the process.

Advancing to step 12:
When dividing 6720 by 676, we get 9 with a remainder of 636.
The number 9 becomes the next digit in our result. 
Result so far: 25459.6789
If we subtract 6084 from 6720, we get 636.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6360, and continue the process.

On to step 13:
676 goes into 6360 9 times with a remainder of 276.
Write down 9 as next digit of the result. 
Result so far: 25459.67899
Subtract 6084 from 6360 to get 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

The final result is 25459.67899 with a remainder of 0.000276.