We look at the division of 4618598 by 41 
We want to divide 4618598 by 41.

Going ahead to step 1:
4 divided by 41 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 41

Moving on to step 2:
When dividing 46 by 41, we get 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 41 from 46, we get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 41

Moving on to step 3:
When dividing 51 by 41, we get 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 11.0
If we take 41 away from 51, we end up with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 41

Step 4:
108 divided by 41 is 2 with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 112.0
Subtract 82 from 108 to get 26.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 41

Going ahead to step 5:
The number 41 fits into 265 6 times, leaving a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 1126.0
Subtracting 246 from 265 leaves us with 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 41

On to step 6:
The number 41 fits into 199 4 times, leaving a remainder of 35.
The next digit of our result is 4. 
Result so far: 11264.0
The remainder is 35 after subtracting 164 from 199.
Bring next digit (8) of the dividend behind the 35 and repeat the process: 358 / 41

On to step 7:
41 can be fit into 358 8 times, resulting in a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 112648.0
The remainder is 30 after subtracting 328 from 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 112648.7
Subtracting 287 from 300 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 9:
41 can be fit into 130 3 times, resulting in a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 112648.73
Subtracting 123 from 130 leaves us 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.

On to step 10:
When dividing 70 by 41, we get 1 with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 112648.731
Subtract 41 from 70 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 11:
The number 41 fits into 290 7 times, leaving a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 112648.7317
If we take 287 away from 290, we end up with 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:
The number 41 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 112648.7317
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 13:
If we divide 300 by 41, we get 7 and a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 112648.731707
If we take 287 away from 300, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 14:
When dividing 130 by 41, we get 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 112648.7317073
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.

Advancing to step 15:
When dividing 70 by 41, we get 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 112648.73170731
If we subtract 41 from 70, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

After the division, we end up with 112648.73170731 and a remainder of 2.9e-08.