10921634 divided by 353 
Our goal is to divide 10921634 by 353.

Step 1:
When dividing 1 by 353, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 353

Moving on to step 2:
10 divided by 353 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 353

Going ahead to step 3:
353 goes into 109 0 times with a remainder of 109.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 109, we end up with 109.
Bring next digit (2) of the dividend behind the 109 and repeat the process: 1092 / 353

Going ahead to step 4:
1092 divided by 353 is 3 with a remainder of 33.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 1059 from 1092 leaves us with 33.
Take the next digit (1) from the dividend and append it to 33, then repeat: 331 / 353

Step 5:
331 divided by 353 is 0 with a remainder of 331.
Put 0 as the next digit of the answer. 
Result so far: 30.0
If we subtract 0 from 331, we get 331.
Fetch the next digit (6) from the dividend, attach it to 331 and continue: 3316 / 353

Step 6:
The number 353 fits into 3316 9 times, leaving a remainder of 139.
Put 9 as the next digit of the answer. 
Result so far: 309.0
Deduct 3177 from 3316 and we're left with 139.
Fetch the next digit (3) from the dividend, attach it to 139 and continue: 1393 / 353

Step 7:
If we divide 1393 by 353, we get 3 and a remainder of 334.
Use 3 as the next digit of our solution. 
Result so far: 3093.0
If we take 1059 away from 1393, we end up with 334.
Take the next digit (4) from the dividend and append it to 334, then repeat: 3344 / 353

Step 8:
353 goes into 3344 9 times with a remainder of 167.
Put 9 as the next digit of the answer. 
Result so far: 30939.0
Deduct 3177 from 3344 and we're left with 167.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1670, and continue the process.

Let's proceed to step 9:
If we divide 1670 by 353, we get 4 and a remainder of 258.
The next digit of our result is 4. 
Result so far: 30939.4
The remainder is 258 after subtracting 1412 from 1670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

On to step 10:
The number 353 fits into 2580 7 times, leaving a remainder of 109.
The next digit of our result is 7. 
Result so far: 30939.47
Subtracting 2471 from 2580 leaves us with 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

Step 11:
The number 353 fits into 1090 3 times, leaving a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 30939.473
If we subtract 1059 from 1090, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 12:
310 divided by 353 is 0 with a remainder of 310.
Record the quotient 0 as the next digit in the result. 
Result so far: 30939.473
Deduct 0 from 310 and we're left with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Going ahead to step 13:
When dividing 3100 by 353, we get 8 with a remainder of 276.
Put 8 as the next digit of the answer. 
Result so far: 30939.47308
Deduct 2824 from 3100 and we're left with 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

On to step 14:
If we divide 2760 by 353, we get 7 and a remainder of 289.
Use 7 as the next digit of our solution. 
Result so far: 30939.473087
If we subtract 2471 from 2760, we get 289.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2890, and continue the process.

On to step 15:
When dividing 2890 by 353, we get 8 with a remainder of 66.
The next digit of our result is 8. 
Result so far: 30939.4730878
The remainder is 66 after subtracting 2824 from 2890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 16:
660 divided by 353 is 1 with a remainder of 307.
Write down 1 as next digit of the result. 
Result so far: 30939.47308781
The remainder is 307 after subtracting 353 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Our division results in 30939.47308781 with a remaining 3.07e-07.