85698 ÷ 241 
We want to figure out the number of times 85698 can be divided by 241.

Going ahead to step 1:
When dividing 8 by 241, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 241

Let's proceed to step 2:
When dividing 85 by 241, we get 0 with a remainder of 85.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 85, we get 85.
Fetch the next digit (6) from the dividend, attach it to 85 and continue: 856 / 241

Advancing to step 3:
856 divided by 241 is 3 with a remainder of 133.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 723 from 856 and we're left with 133.
Fetch the next digit (9) from the dividend, attach it to 133 and continue: 1339 / 241

Advancing to step 4:
The number 241 fits into 1339 5 times, leaving a remainder of 134.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
The remainder is 134 after subtracting 1205 from 1339.
Include the next digit (8) from the dividend after 134, then repeat: 1348 / 241

Step 5:
When dividing 1348 by 241, we get 5 with a remainder of 143.
Use 5 as the next digit of our solution. 
Result so far: 355.0
If we subtract 1205 from 1348, we get 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Advancing to step 6:
When dividing 1430 by 241, we get 5 with a remainder of 225.
The next digit of our result is 5. 
Result so far: 355.5
Subtracting 1205 from 1430 leaves us with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Let's proceed to step 7:
The number 241 fits into 2250 9 times, leaving a remainder of 81.
The next digit of our result is 9. 
Result so far: 355.59
Subtract 2169 from 2250 to get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 8:
810 divided by 241 is 3 with a remainder of 87.
Use 3 as the next digit of our solution. 
Result so far: 355.593
Subtract 723 from 810 to get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Let's proceed to step 9:
870 divided by 241 is 3 with a remainder of 147.
Use 3 as the next digit of our solution. 
Result so far: 355.5933
If we subtract 723 from 870, we get 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

The quotient of the division is 355.5933, and the remainder is 0.00147.