971534 ÷ 97 
Our goal is to divide 971534 by 97.

On to step 1:
The number 97 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 97

On to step 2:
If we divide 97 by 97, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 97 from 97 to get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 97

Going ahead to step 3:
When dividing 1 by 97, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 1, we get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 97

Moving on to step 4:
When dividing 15 by 97, we get 0 with a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 100.0
Subtracting 0 from 15 leaves us with 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 97

Advancing to step 5:
97 goes into 153 1 times with a remainder of 56.
The number 1 becomes the next digit in our result. 
Result so far: 1001.0
Deduct 97 from 153 and we're left with 56.
Bring next digit (4) of the dividend behind the 56 and repeat the process: 564 / 97

Step 6:
97 goes into 564 5 times with a remainder of 79.
Put 5 as the next digit of the answer. 
Result so far: 10015.0
Subtract 485 from 564 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 7:
When dividing 790 by 97, we get 8 with a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 10015.8
If we subtract 776 from 790, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
If we divide 140 by 97, we get 1 and a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 10015.81
Subtracting 97 from 140 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 9:
97 can be fit into 430 4 times, resulting in a remainder of 42.
Record the quotient 4 as the next digit in the result. 
Result so far: 10015.814
If we take 388 away from 430, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 10:
97 goes into 420 4 times with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 10015.8144
If we take 388 away from 420, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 10015.8144 with a remaining 0.00032.