We look at the division of 749114 by 41 
We want to divide 749114 by 41.

Advancing to step 1:
41 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 41

Going ahead to step 2:
The number 41 fits into 74 1 times, leaving a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 41 away from 74, we end up with 33.
Grab the next digit (9) from the dividend, add it to 33, then carry on: 339 / 41

On to step 3:
41 can be fit into 339 8 times, resulting in a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 18.0
Subtracting 328 from 339 leaves us with 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 41

Let's proceed to step 4:
111 divided by 41 is 2 with a remainder of 29.
Use 2 as the next digit of our solution. 
Result so far: 182.0
Deduct 82 from 111 and we're left with 29.
Fetch the next digit (1) from the dividend, attach it to 29 and continue: 291 / 41

Advancing to step 5:
41 can be fit into 291 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 1827.0
If we take 287 away from 291, we end up with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 41

On to step 6:
The number 41 fits into 44 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 18271.0
The remainder is 3 after subtracting 41 from 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
41 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 18271.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
When dividing 300 by 41, we get 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 18271.07
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 9:
41 goes into 130 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 18271.073
Subtract 123 from 130 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
70 divided by 41 is 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 18271.0731
If we take 41 away from 70, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 11:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 18271.07317
If we subtract 287 from 290, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 12:
When dividing 30 by 41, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 18271.07317
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 13:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 18271.0731707
Subtract 287 from 300 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 14:
41 can be fit into 130 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 18271.07317073
Deduct 123 from 130 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 18271.07317073 and a remainder of 7e-09.