We're dividing 41306 by 89 
We want to divide 41306 by 89.

Let's proceed to step 1:
4 divided by 89 is 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 / 89

Advancing to step 2:
89 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 89

Advancing to step 3:
The number 89 fits into 413 4 times, leaving a remainder of 57.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 356 from 413 to get 57.
Fetch the next digit (0) from the dividend, attach it to 57 and continue: 570 / 89

Going ahead to step 4:
When dividing 570 by 89, we get 6 with a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 46.0
Subtract 534 from 570 to get 36.
Bring next digit (6) of the dividend behind the 36 and repeat the process: 366 / 89

Step 5:
366 divided by 89 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 464.0
Subtract 356 from 366 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 6:
89 goes into 100 1 times with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 464.1
Deduct 89 from 100 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
The number 89 fits into 110 1 times, leaving a remainder of 21.
The next digit of our result is 1. 
Result so far: 464.11
Deduct 89 from 110 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Our division results in 464.11 with a remaining 0.021.