101525 ÷ 97 
We want to divide 101525 by 97.

Step 1:
97 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 97

Going ahead to step 2:
97 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 97

Step 3:
If we divide 101 by 97, we get 1 and a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 4 after subtracting 97 from 101.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 97

Going ahead to step 4:
When dividing 45 by 97, we get 0 with a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 45 leaves us with 45.
Take the next digit (2) from the dividend and append it to 45, then repeat: 452 / 97

Step 5:
The number 97 fits into 452 4 times, leaving a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
Deduct 388 from 452 and we're left with 64.
Fetch the next digit (5) from the dividend, attach it to 64 and continue: 645 / 97

Advancing to step 6:
If we divide 645 by 97, we get 6 and a remainder of 63.
The next digit of our result is 6. 
Result so far: 1046.0
The remainder is 63 after subtracting 582 from 645.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 7:
630 divided by 97 is 6 with a remainder of 48.
The next digit of our result is 6. 
Result so far: 1046.6
If we take 582 away from 630, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
480 divided by 97 is 4 with a remainder of 92.
The number 4 becomes the next digit in our result. 
Result so far: 1046.64
If we take 388 away from 480, we end up with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Step 9:
97 can be fit into 920 9 times, resulting in a remainder of 47.
Record the quotient 9 as the next digit in the result. 
Result so far: 1046.649
Subtract 873 from 920 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 10:
If we divide 470 by 97, we get 4 and a remainder of 82.
The next digit of our result is 4. 
Result so far: 1046.6494
Subtracting 388 from 470 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 11:
97 goes into 820 8 times with a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 1046.64948
The remainder is 44 after subtracting 776 from 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 12:
When dividing 440 by 97, we get 4 with a remainder of 52.
Use 4 as the next digit of our solution. 
Result so far: 1046.649484
Subtract 388 from 440 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 13:
The number 97 fits into 520 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 1046.6494845
The remainder is 35 after subtracting 485 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 14:
350 divided by 97 is 3 with a remainder of 59.
The number 3 becomes the next digit in our result. 
Result so far: 1046.64948453
Subtracting 291 from 350 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

In conclusion, the division gives 1046.64948453 with a balance of 5.9e-08.