We look at the division of 99173421 by 814 
Our goal is to divide 99173421 by 814.

Going ahead to step 1:
When dividing 9 by 814, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 814

Advancing to step 2:
99 divided by 814 is 0 with a remainder of 99.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 99 leaves us with 99.
Take the next digit (1) from the dividend and append it to 99, then repeat: 991 / 814

On to step 3:
If we divide 991 by 814, we get 1 and a remainder of 177.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 814 away from 991, we end up with 177.
Append the next digit (7) from the dividend to 177 and continue with: 1777 / 814

Advancing to step 4:
1777 divided by 814 is 2 with a remainder of 149.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 1628 from 1777 and we're left with 149.
Take the next digit (3) from the dividend and append it to 149, then repeat: 1493 / 814

Advancing to step 5:
814 can be fit into 1493 1 times, resulting in a remainder of 679.
Record the quotient 1 as the next digit in the result. 
Result so far: 121.0
If we subtract 814 from 1493, we get 679.
Bring next digit (4) of the dividend behind the 679 and repeat the process: 6794 / 814

Let's proceed to step 6:
814 goes into 6794 8 times with a remainder of 282.
Record the quotient 8 as the next digit in the result. 
Result so far: 1218.0
Subtract 6512 from 6794 to get 282.
Take the next digit (2) from the dividend and append it to 282, then repeat: 2822 / 814

Advancing to step 7:
814 goes into 2822 3 times with a remainder of 380.
Write down 3 as next digit of the result. 
Result so far: 12183.0
The remainder is 380 after subtracting 2442 from 2822.
Append the next digit (1) from the dividend to 380 and continue with: 3801 / 814

On to step 8:
814 can be fit into 3801 4 times, resulting in a remainder of 545.
The number 4 becomes the next digit in our result. 
Result so far: 121834.0
Deduct 3256 from 3801 and we're left with 545.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5450, and continue the process.

Advancing to step 9:
If we divide 5450 by 814, we get 6 and a remainder of 566.
The next digit of our result is 6. 
Result so far: 121834.6
Subtracting 4884 from 5450 leaves us with 566.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5660, and continue the process.

On to step 10:
If we divide 5660 by 814, we get 6 and a remainder of 776.
Use 6 as the next digit of our solution. 
Result so far: 121834.66
Deduct 4884 from 5660 and we're left with 776.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7760, and continue the process.

The quotient of the division is 121834.66, and the remainder is 0.776.