We look at the division of 4596 by 41 
We're looking to find how many times 41 goes into 4596.

Moving on to step 1:
41 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 41

Going ahead to step 2:
41 can be fit into 45 1 times, resulting in a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 41 from 45 to get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 41

Advancing to step 3:
49 divided by 41 is 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
The remainder is 8 after subtracting 41 from 49.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 41

Step 4:
41 can be fit into 86 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 112.0
Subtracting 82 from 86 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 5:
41 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 112.0
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 6:
400 divided by 41 is 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 112.09
Subtracting 369 from 400 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
The number 41 fits into 310 7 times, leaving a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 112.097
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 8:
When dividing 230 by 41, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 112.0975
Subtract 205 from 230 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
41 can be fit into 250 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 112.09756
The remainder is 4 after subtracting 246 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
The number 41 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 112.09756
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
41 can be fit into 400 9 times, resulting in a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 112.0975609
If we subtract 369 from 400, 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:
41 can be fit into 310 7 times, resulting in a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 112.09756097
If we take 287 away from 310, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The final result is 112.09756097 with a remainder of 2.3e-08.