We're dividing 217598 by 41 
We're looking to find how many times 41 goes into 217598.

Advancing to step 1:
2 divided by 41 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 41

Advancing to step 2:
The number 41 fits into 21 0 times, leaving a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Fetch the next digit (7) from the dividend, attach it to 21 and continue: 217 / 41

Going ahead to step 3:
217 divided by 41 is 5 with a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 205 from 217, we get 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 41

Let's proceed to step 4:
The number 41 fits into 125 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
Subtract 123 from 125 to get 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 41

Let's proceed to step 5:
When dividing 29 by 41, we get 0 with a remainder of 29.
Use 0 as the next digit of our solution. 
Result so far: 530.0
Subtract 0 from 29 to get 29.
Include the next digit (8) from the dividend after 29, then repeat: 298 / 41

Going ahead to step 6:
When dividing 298 by 41, we get 7 with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 5307.0
If we subtract 287 from 298, we get 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:
If we divide 110 by 41, we get 2 and a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 5307.2
The remainder is 28 after subtracting 82 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
41 goes into 280 6 times with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 5307.26
Subtracting 246 from 280 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
41 goes into 340 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 5307.268
If we subtract 328 from 340, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 5307.2682
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 11:
41 can be fit into 380 9 times, resulting in a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 5307.26829
Subtract 369 from 380 to get 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 12:
The number 41 fits into 110 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 5307.268292
If we take 82 away from 110, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 13:
41 can be fit into 280 6 times, resulting in a remainder of 34.
The next digit of our result is 6. 
Result so far: 5307.2682926
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 14:
The number 41 fits into 340 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 5307.26829268
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 5307.26829268, and the remainder is 1.2e-08.