We're dividing 41599 by 97 
We want to divide 41599 by 97.

On to step 1:
When dividing 4 by 97, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 97

Advancing to step 2:
The number 97 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Append the next digit (5) from the dividend to 41 and continue with: 415 / 97

Let's proceed to step 3:
If we divide 415 by 97, we get 4 and a remainder of 27.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 388 away from 415, we end up with 27.
Take the next digit (9) from the dividend and append it to 27, then repeat: 279 / 97

Step 4:
When dividing 279 by 97, we get 2 with a remainder of 85.
Use 2 as the next digit of our solution. 
Result so far: 42.0
Subtract 194 from 279 to get 85.
Include the next digit (9) from the dividend after 85, then repeat: 859 / 97

Step 5:
97 can be fit into 859 8 times, resulting in a remainder of 83.
Put 8 as the next digit of the answer. 
Result so far: 428.0
Subtract 776 from 859 to get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

On to step 6:
If we divide 830 by 97, we get 8 and a remainder of 54.
Put 8 as the next digit of the answer. 
Result so far: 428.8
If we subtract 776 from 830, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 7:
The number 97 fits into 540 5 times, leaving a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 428.85
The remainder is 55 after subtracting 485 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 8:
97 goes into 550 5 times with a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 428.855
The remainder is 65 after subtracting 485 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final outcome is 428.855, with a leftover of 0.0065.