We look at the division of 6686173 by 629 
We want to figure out the number of times 6686173 can be divided by 629.

Moving on to step 1:
The number 629 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 629

Moving on to step 2:
629 goes into 66 0 times with a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Take the next digit (8) from the dividend and append it to 66, then repeat: 668 / 629

Moving on to step 3:
629 can be fit into 668 1 times, resulting in a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 629 from 668 and we're left with 39.
Append the next digit (6) from the dividend to 39 and continue with: 396 / 629

Let's proceed to step 4:
396 divided by 629 is 0 with a remainder of 396.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 396 after subtracting 0 from 396.
Grab the next digit (1) from the dividend, add it to 396, then carry on: 3961 / 629

Advancing to step 5:
629 goes into 3961 6 times with a remainder of 187.
Put 6 as the next digit of the answer. 
Result so far: 106.0
Subtract 3774 from 3961 to get 187.
Fetch the next digit (7) from the dividend, attach it to 187 and continue: 1877 / 629

Let's proceed to step 6:
629 can be fit into 1877 2 times, resulting in a remainder of 619.
Use 2 as the next digit of our solution. 
Result so far: 1062.0
If we subtract 1258 from 1877, we get 619.
Grab the next digit (3) from the dividend, add it to 619, then carry on: 6193 / 629

Advancing to step 7:
629 goes into 6193 9 times with a remainder of 532.
The number 9 becomes the next digit in our result. 
Result so far: 10629.0
If we take 5661 away from 6193, we end up with 532.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

Going ahead to step 8:
629 goes into 5320 8 times with a remainder of 288.
Put 8 as the next digit of the answer. 
Result so far: 10629.8
Subtract 5032 from 5320 to get 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

Advancing to step 9:
629 can be fit into 2880 4 times, resulting in a remainder of 364.
Write down 4 as next digit of the result. 
Result so far: 10629.84
Deduct 2516 from 2880 and we're left with 364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3640, and continue the process.

Let's proceed to step 10:
3640 divided by 629 is 5 with a remainder of 495.
Put 5 as the next digit of the answer. 
Result so far: 10629.845
The remainder is 495 after subtracting 3145 from 3640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Step 11:
If we divide 4950 by 629, we get 7 and a remainder of 547.
The next digit of our result is 7. 
Result so far: 10629.8457
If we subtract 4403 from 4950, we get 547.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5470, and continue the process.

Step 12:
629 goes into 5470 8 times with a remainder of 438.
The number 8 becomes the next digit in our result. 
Result so far: 10629.84578
Deduct 5032 from 5470 and we're left with 438.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4380, and continue the process.

Moving on to step 13:
If we divide 4380 by 629, we get 6 and a remainder of 606.
The next digit of our result is 6. 
Result so far: 10629.845786
Deduct 3774 from 4380 and we're left with 606.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6060, and continue the process.

Going ahead to step 14:
When dividing 6060 by 629, we get 9 with a remainder of 399.
The next digit of our result is 9. 
Result so far: 10629.8457869
Subtracting 5661 from 6060 leaves us with 399.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3990, and continue the process.

Going ahead to step 15:
The number 629 fits into 3990 6 times, leaving a remainder of 216.
Record the quotient 6 as the next digit in the result. 
Result so far: 10629.84578696
Subtract 3774 from 3990 to get 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

The final result is 10629.84578696 with a remainder of 2.16e-07.