87258 ÷ 97 
We're looking to find how many times 97 goes into 87258.

Going ahead to step 1:
97 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 97

Moving on to step 2:
97 goes into 87 0 times with a remainder of 87.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 87, we get 87.
Fetch the next digit (2) from the dividend, attach it to 87 and continue: 872 / 97

On to step 3:
If we divide 872 by 97, we get 8 and a remainder of 96.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 776 from 872 leaves us with 96.
Bring next digit (5) of the dividend behind the 96 and repeat the process: 965 / 97

Let's proceed to step 4:
97 goes into 965 9 times with a remainder of 92.
Write down 9 as next digit of the result. 
Result so far: 89.0
The remainder is 92 after subtracting 873 from 965.
Include the next digit (8) from the dividend after 92, then repeat: 928 / 97

Let's proceed to step 5:
97 goes into 928 9 times with a remainder of 55.
Record the quotient 9 as the next digit in the result. 
Result so far: 899.0
Subtracting 873 from 928 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 6:
550 divided by 97 is 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 899.5
Subtracting 485 from 550 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 7:
If we divide 650 by 97, we get 6 and a remainder of 68.
Use 6 as the next digit of our solution. 
Result so far: 899.56
The remainder is 68 after subtracting 582 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 8:
680 divided by 97 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 899.567
If we subtract 679 from 680, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
97 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 899.567
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
When dividing 100 by 97, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 899.56701
The remainder is 3 after subtracting 97 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
The number 97 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 899.56701
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
97 goes into 300 3 times with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 899.5670103
Subtract 291 from 300 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 13:
97 goes into 90 0 times with a remainder of 90.
Use 0 as the next digit of our solution. 
Result so far: 899.5670103
If we take 0 away from 90, we end up with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

After the division, we end up with 899.5670103 and a remainder of 9e-08.