We divide 86435 by 97
We're looking to find how many times 97 goes into 86435.

Let's proceed to step 1:
The number 97 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 97

Going ahead to step 2:
The number 97 fits into 86 0 times, leaving a remainder of 86.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 86 after subtracting 0 from 86.
Append the next digit (4) from the dividend to 86 and continue with: 864 / 97

Let's proceed to step 3:
864 divided by 97 is 8 with a remainder of 88.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 776 from 864 and we're left with 88.
Take the next digit (3) from the dividend and append it to 88, then repeat: 883 / 97

Going ahead to step 4:
When dividing 883 by 97, we get 9 with a remainder of 10.
The next digit of our result is 9. 
Result so far: 89.0
If we take 873 away from 883, we end up with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 97

Going ahead to step 5:
105 divided by 97 is 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 891.0
The remainder is 8 after subtracting 97 from 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 6:
If we divide 80 by 97, we get 0 and a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 891.0
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 7:
97 can be fit into 800 8 times, resulting in a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 891.08
If we subtract 776 from 800, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
When dividing 240 by 97, we get 2 with a remainder of 46.
Use 2 as the next digit of our solution. 
Result so far: 891.082
If we subtract 194 from 240, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 9:
97 can be fit into 460 4 times, resulting in a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 891.0824
Subtract 388 from 460 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 10:
97 can be fit into 720 7 times, resulting in a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 891.08247
Subtract 679 from 720 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 11:
97 can be fit into 410 4 times, resulting in a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 891.082474
Subtract 388 from 410 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 12:
The number 97 fits into 220 2 times, leaving a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 891.0824742
The remainder is 26 after subtracting 194 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 13:
97 can be fit into 260 2 times, resulting in a remainder of 66.
Use 2 as the next digit of our solution. 
Result so far: 891.08247422
Subtract 194 from 260 to 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.

In conclusion, the division gives 891.08247422 with a balance of 6.6e-08.