We look at the division of 14122141 by 738 
Our goal is to divide 14122141 by 738.

Advancing to step 1:
The number 738 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 738

Going ahead to step 2:
When dividing 14 by 738, we get 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 738

Let's proceed to step 3:
141 divided by 738 is 0 with a remainder of 141.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 141 to get 141.
Grab the next digit (2) from the dividend, add it to 141, then carry on: 1412 / 738

On to step 4:
If we divide 1412 by 738, we get 1 and a remainder of 674.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 738 from 1412 to get 674.
Fetch the next digit (2) from the dividend, attach it to 674 and continue: 6742 / 738

Let's proceed to step 5:
738 can be fit into 6742 9 times, resulting in a remainder of 100.
The next digit of our result is 9. 
Result so far: 19.0
Subtract 6642 from 6742 to get 100.
Grab the next digit (1) from the dividend, add it to 100, then carry on: 1001 / 738

On to step 6:
738 goes into 1001 1 times with a remainder of 263.
Write down 1 as next digit of the result. 
Result so far: 191.0
If we subtract 738 from 1001, we get 263.
Append the next digit (4) from the dividend to 263 and continue with: 2634 / 738

Step 7:
When dividing 2634 by 738, we get 3 with a remainder of 420.
Put 3 as the next digit of the answer. 
Result so far: 1913.0
If we take 2214 away from 2634, we end up with 420.
Fetch the next digit (1) from the dividend, attach it to 420 and continue: 4201 / 738

Let's proceed to step 8:
738 goes into 4201 5 times with a remainder of 511.
Use 5 as the next digit of our solution. 
Result so far: 19135.0
If we take 3690 away from 4201, we end up with 511.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5110, and continue the process.

Step 9:
5110 divided by 738 is 6 with a remainder of 682.
Write down 6 as next digit of the result. 
Result so far: 19135.6
Subtract 4428 from 5110 to get 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

Let's proceed to step 10:
When dividing 6820 by 738, we get 9 with a remainder of 178.
Put 9 as the next digit of the answer. 
Result so far: 19135.69
Deduct 6642 from 6820 and we're left with 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

On to step 11:
738 can be fit into 1780 2 times, resulting in a remainder of 304.
The next digit of our result is 2. 
Result so far: 19135.692
Subtract 1476 from 1780 to get 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Advancing to step 12:
3040 divided by 738 is 4 with a remainder of 88.
The next digit of our result is 4. 
Result so far: 19135.6924
The remainder is 88 after subtracting 2952 from 3040.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Advancing to step 13:
738 can be fit into 880 1 times, resulting in a remainder of 142.
Use 1 as the next digit of our solution. 
Result so far: 19135.69241
The remainder is 142 after subtracting 738 from 880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Step 14:
If we divide 1420 by 738, we get 1 and a remainder of 682.
Put 1 as the next digit of the answer. 
Result so far: 19135.692411
If we take 738 away from 1420, we end up with 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

Our division results in 19135.692411 with a remaining 6.82e-05.