We look at the division of 12553267 by 738 
Our goal is to divide 12553267 by 738.

On to step 1:
The number 738 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 738

Moving on to step 2:
738 can be fit into 12 0 times, resulting in a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 738

Going ahead to step 3:
738 goes into 125 0 times with a remainder of 125.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 125 and we're left with 125.
Bring next digit (5) of the dividend behind the 125 and repeat the process: 1255 / 738

On to step 4:
When dividing 1255 by 738, we get 1 with a remainder of 517.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 738 away from 1255, we end up with 517.
Bring next digit (3) of the dividend behind the 517 and repeat the process: 5173 / 738

Moving on to step 5:
If we divide 5173 by 738, we get 7 and a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtract 5166 from 5173 to get 7.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 738

Step 6:
If we divide 72 by 738, we get 0 and a remainder of 72.
Write down 0 as next digit of the result. 
Result so far: 170.0
Deduct 0 from 72 and we're left with 72.
Include the next digit (6) from the dividend after 72, then repeat: 726 / 738

Advancing to step 7:
When dividing 726 by 738, we get 0 with a remainder of 726.
Write down 0 as next digit of the result. 
Result so far: 1700.0
If we subtract 0 from 726, we get 726.
Bring next digit (7) of the dividend behind the 726 and repeat the process: 7267 / 738

Moving on to step 8:
If we divide 7267 by 738, we get 9 and a remainder of 625.
The next digit of our result is 9. 
Result so far: 17009.0
The remainder is 625 after subtracting 6642 from 7267.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6250, and continue the process.

On to step 9:
738 goes into 6250 8 times with a remainder of 346.
Record the quotient 8 as the next digit in the result. 
Result so far: 17009.8
Subtracting 5904 from 6250 leaves us with 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Going ahead to step 10:
If we divide 3460 by 738, we get 4 and a remainder of 508.
Write down 4 as next digit of the result. 
Result so far: 17009.84
If we subtract 2952 from 3460, we get 508.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5080, and continue the process.

Step 11:
738 goes into 5080 6 times with a remainder of 652.
The next digit of our result is 6. 
Result so far: 17009.846
If we take 4428 away from 5080, we end up with 652.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6520, and continue the process.

Going ahead to step 12:
The number 738 fits into 6520 8 times, leaving a remainder of 616.
Record the quotient 8 as the next digit in the result. 
Result so far: 17009.8468
If we take 5904 away from 6520, we end up with 616.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6160, and continue the process.

Step 13:
738 goes into 6160 8 times with a remainder of 256.
Write down 8 as next digit of the result. 
Result so far: 17009.84688
If we subtract 5904 from 6160, we get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

The quotient of the division is 17009.84688, and the remainder is 0.000256.