Let's divide 15126634 by 353
We want to figure out the number of times 15126634 can be divided by 353.

On to step 1:
353 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 353

Advancing to step 2:
The number 353 fits into 15 0 times, leaving a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 353

On to step 3:
151 divided by 353 is 0 with a remainder of 151.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 151, we end up with 151.
Include the next digit (2) from the dividend after 151, then repeat: 1512 / 353

Going ahead to step 4:
1512 divided by 353 is 4 with a remainder of 100.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 1412 from 1512, we get 100.
Append the next digit (6) from the dividend to 100 and continue with: 1006 / 353

Step 5:
353 goes into 1006 2 times with a remainder of 300.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
If we subtract 706 from 1006, we get 300.
Append the next digit (6) from the dividend to 300 and continue with: 3006 / 353

On to step 6:
353 goes into 3006 8 times with a remainder of 182.
Record the quotient 8 as the next digit in the result. 
Result so far: 428.0
The remainder is 182 after subtracting 2824 from 3006.
Bring next digit (3) of the dividend behind the 182 and repeat the process: 1823 / 353

Moving on to step 7:
1823 divided by 353 is 5 with a remainder of 58.
Use 5 as the next digit of our solution. 
Result so far: 4285.0
If we subtract 1765 from 1823, we get 58.
Append the next digit (4) from the dividend to 58 and continue with: 584 / 353

On to step 8:
584 divided by 353 is 1 with a remainder of 231.
The number 1 becomes the next digit in our result. 
Result so far: 42851.0
Deduct 353 from 584 and we're left with 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

Step 9:
If we divide 2310 by 353, we get 6 and a remainder of 192.
Use 6 as the next digit of our solution. 
Result so far: 42851.6
Subtract 2118 from 2310 to get 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Going ahead to step 10:
353 goes into 1920 5 times with a remainder of 155.
Write down 5 as next digit of the result. 
Result so far: 42851.65
If we subtract 1765 from 1920, we get 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Going ahead to step 11:
If we divide 1550 by 353, we get 4 and a remainder of 138.
Record the quotient 4 as the next digit in the result. 
Result so far: 42851.654
If we subtract 1412 from 1550, we get 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

On to step 12:
1380 divided by 353 is 3 with a remainder of 321.
Write down 3 as next digit of the result. 
Result so far: 42851.6543
Subtracting 1059 from 1380 leaves us with 321.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3210, and continue the process.

Let's proceed to step 13:
When dividing 3210 by 353, we get 9 with a remainder of 33.
Put 9 as the next digit of the answer. 
Result so far: 42851.65439
If we take 3177 away from 3210, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 14:
When dividing 330 by 353, we get 0 with a remainder of 330.
Use 0 as the next digit of our solution. 
Result so far: 42851.65439
If we take 0 away from 330, we end up with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

On to step 15:
If we divide 3300 by 353, we get 9 and a remainder of 123.
Write down 9 as next digit of the result. 
Result so far: 42851.6543909
If we take 3177 away from 3300, we end up with 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

On to step 16:
353 goes into 1230 3 times with a remainder of 171.
Put 3 as the next digit of the answer. 
Result so far: 42851.65439093
Deduct 1059 from 1230 and we're left with 171.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1710, and continue the process.

The final result is 42851.65439093 with a remainder of 1.71e-07.