We look at the division of 34421981 by 634 
We want to figure out the number of times 34421981 can be divided by 634.

Advancing to step 1:
634 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 634

Let's proceed to step 2:
The number 634 fits into 34 0 times, leaving a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Fetch the next digit (4) from the dividend, attach it to 34 and continue: 344 / 634

Let's proceed to step 3:
If we divide 344 by 634, we get 0 and a remainder of 344.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 344 and we're left with 344.
Fetch the next digit (2) from the dividend, attach it to 344 and continue: 3442 / 634

Moving on to step 4:
634 can be fit into 3442 5 times, resulting in a remainder of 272.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 3170 away from 3442, we end up with 272.
Include the next digit (1) from the dividend after 272, then repeat: 2721 / 634

Let's proceed to step 5:
2721 divided by 634 is 4 with a remainder of 185.
Put 4 as the next digit of the answer. 
Result so far: 54.0
Deduct 2536 from 2721 and we're left with 185.
Bring next digit (9) of the dividend behind the 185 and repeat the process: 1859 / 634

Let's proceed to step 6:
634 goes into 1859 2 times with a remainder of 591.
The next digit of our result is 2. 
Result so far: 542.0
If we subtract 1268 from 1859, we get 591.
Grab the next digit (8) from the dividend, add it to 591, then carry on: 5918 / 634

Let's proceed to step 7:
If we divide 5918 by 634, we get 9 and a remainder of 212.
The next digit of our result is 9. 
Result so far: 5429.0
If we take 5706 away from 5918, we end up with 212.
Take the next digit (1) from the dividend and append it to 212, then repeat: 2121 / 634

On to step 8:
634 can be fit into 2121 3 times, resulting in a remainder of 219.
Put 3 as the next digit of the answer. 
Result so far: 54293.0
Deduct 1902 from 2121 and we're left with 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

Moving on to step 9:
The number 634 fits into 2190 3 times, leaving a remainder of 288.
Record the quotient 3 as the next digit in the result. 
Result so far: 54293.3
Deduct 1902 from 2190 and we're left with 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 10:
2880 divided by 634 is 4 with a remainder of 344.
The number 4 becomes the next digit in our result. 
Result so far: 54293.34
Deduct 2536 from 2880 and we're left with 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

Moving on to step 11:
3440 divided by 634 is 5 with a remainder of 270.
The next digit of our result is 5. 
Result so far: 54293.345
If we take 3170 away from 3440, we end up with 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Going ahead to step 12:
2700 divided by 634 is 4 with a remainder of 164.
Put 4 as the next digit of the answer. 
Result so far: 54293.3454
If we take 2536 away from 2700, we end up with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

On to step 13:
634 goes into 1640 2 times with a remainder of 372.
The number 2 becomes the next digit in our result. 
Result so far: 54293.34542
Subtracting 1268 from 1640 leaves us with 372.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

Step 14:
634 goes into 3720 5 times with a remainder of 550.
Record the quotient 5 as the next digit in the result. 
Result so far: 54293.345425
Subtracting 3170 from 3720 leaves us with 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5500, and continue the process.

Going ahead to step 15:
5500 divided by 634 is 8 with a remainder of 428.
Record the quotient 8 as the next digit in the result. 
Result so far: 54293.3454258
If we subtract 5072 from 5500, we get 428.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

Going ahead to step 16:
4280 divided by 634 is 6 with a remainder of 476.
Use 6 as the next digit of our solution. 
Result so far: 54293.34542586
If we subtract 3804 from 4280, we get 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

Our division results in 54293.34542586 with a remaining 4.76e-07.