86202 ÷ 91 
Our goal is to divide 86202 by 91.

Let's proceed to step 1:
The number 91 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 91

Step 2:
91 goes into 86 0 times with a remainder of 86.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 86, we get 86.
Include the next digit (2) from the dividend after 86, then repeat: 862 / 91

Moving on to step 3:
862 divided by 91 is 9 with a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 819 from 862 and we're left with 43.
Append the next digit (0) from the dividend to 43 and continue with: 430 / 91

Let's proceed to step 4:
91 can be fit into 430 4 times, resulting in a remainder of 66.
The next digit of our result is 4. 
Result so far: 94.0
Subtracting 364 from 430 leaves us with 66.
Append the next digit (2) from the dividend to 66 and continue with: 662 / 91

Advancing to step 5:
The number 91 fits into 662 7 times, leaving a remainder of 25.
Write down 7 as next digit of the result. 
Result so far: 947.0
Deduct 637 from 662 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 6:
The number 91 fits into 250 2 times, leaving a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 947.2
If we take 182 away from 250, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 7:
When dividing 680 by 91, we get 7 with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 947.27
Subtract 637 from 680 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 8:
When dividing 430 by 91, we get 4 with a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 947.274
If we subtract 364 from 430, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 9:
If we divide 660 by 91, we get 7 and a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 947.2747
If we subtract 637 from 660, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 10:
91 goes into 230 2 times with a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 947.27472
The remainder is 48 after subtracting 182 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 11:
The number 91 fits into 480 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 947.274725
The remainder is 25 after subtracting 455 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
91 goes into 250 2 times with a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 947.2747252
Subtracting 182 from 250 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 13:
The number 91 fits into 680 7 times, leaving a remainder of 43.
The next digit of our result is 7. 
Result so far: 947.27472527
If we subtract 637 from 680, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

After the division, we end up with 947.27472527 and a remainder of 4.3e-08.