We're dividing 41628 by 26 
Let's see how many times 26 fits into 41628.

Advancing to step 1:
When dividing 4 by 26, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 26

On to step 2:
26 goes into 41 1 times with a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 15 after subtracting 26 from 41.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 26

Going ahead to step 3:
26 goes into 156 6 times with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we take 156 away from 156, we end up with 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 26

On to step 4:
The number 26 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 160.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 26

Advancing to step 5:
The number 26 fits into 28 1 times, leaving a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1601.0
Deduct 26 from 28 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 6:
20 divided by 26 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 1601.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
26 can be fit into 200 7 times, resulting in a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 1601.07
Subtract 182 from 200 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
The number 26 fits into 180 6 times, leaving a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 1601.076
Subtract 156 from 180 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
If we divide 240 by 26, we get 9 and a remainder of 6.
The next digit of our result is 9. 
Result so far: 1601.0769
Deduct 234 from 240 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
60 divided by 26 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 1601.07692
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
The number 26 fits into 80 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 1601.076923
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
If we divide 20 by 26, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 1601.076923
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
When dividing 200 by 26, we get 7 with a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 1601.07692307
Deduct 182 from 200 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 1601.07692307, with a leftover of 1.8e-08.