84601 ÷ 97 
We want to divide 84601 by 97.

Step 1:
97 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 97

On to step 2:
When dividing 84 by 97, we get 0 with a remainder of 84.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 84 to get 84.
Take the next digit (6) from the dividend and append it to 84, then repeat: 846 / 97

Moving on to step 3:
When dividing 846 by 97, we get 8 with a remainder of 70.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 776 from 846, we get 70.
Bring next digit (0) of the dividend behind the 70 and repeat the process: 700 / 97

On to step 4:
97 can be fit into 700 7 times, resulting in a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 87.0
If we subtract 679 from 700, we get 21.
Bring next digit (1) of the dividend behind the 21 and repeat the process: 211 / 97

Step 5:
97 can be fit into 211 2 times, resulting in a remainder of 17.
The number 2 becomes the next digit in our result. 
Result so far: 872.0
Subtracting 194 from 211 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 6:
The number 97 fits into 170 1 times, leaving a remainder of 73.
Record the quotient 1 as the next digit in the result. 
Result so far: 872.1
The remainder is 73 after subtracting 97 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 7:
If we divide 730 by 97, we get 7 and a remainder of 51.
Record the quotient 7 as the next digit in the result. 
Result so far: 872.17
Deduct 679 from 730 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 8:
The number 97 fits into 510 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 872.175
The remainder is 25 after subtracting 485 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
250 divided by 97 is 2 with a remainder of 56.
The next digit of our result is 2. 
Result so far: 872.1752
The remainder is 56 after subtracting 194 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 10:
The number 97 fits into 560 5 times, leaving a remainder of 75.
The next digit of our result is 5. 
Result so far: 872.17525
Deduct 485 from 560 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 11:
97 goes into 750 7 times with a remainder of 71.
Put 7 as the next digit of the answer. 
Result so far: 872.175257
If we take 679 away from 750, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 12:
710 divided by 97 is 7 with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 872.1752577
The remainder is 31 after subtracting 679 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Our division results in 872.1752577 with a remaining 3.1e-07.