We look at the division of 79671 by 97 
Let's see how many times 97 fits into 79671.

Let's proceed to step 1:
97 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 97

Step 2:
97 can be fit into 79 0 times, resulting in a remainder of 79.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 79 and we're left with 79.
Bring next digit (6) of the dividend behind the 79 and repeat the process: 796 / 97

Let's proceed to step 3:
If we divide 796 by 97, we get 8 and a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 776 away from 796, we end up with 20.
Take the next digit (7) from the dividend and append it to 20, then repeat: 207 / 97

Moving on to step 4:
207 divided by 97 is 2 with a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Subtracting 194 from 207 leaves us with 13.
Fetch the next digit (1) from the dividend, attach it to 13 and continue: 131 / 97

On to step 5:
When dividing 131 by 97, we get 1 with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 821.0
Subtracting 97 from 131 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 6:
When dividing 340 by 97, we get 3 with a remainder of 49.
Record the quotient 3 as the next digit in the result. 
Result so far: 821.3
Deduct 291 from 340 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 7:
490 divided by 97 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 821.35
If we take 485 away from 490, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
50 divided by 97 is 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 821.35
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
97 can be fit into 500 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 821.3505
Subtract 485 from 500 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 10:
The number 97 fits into 150 1 times, leaving a remainder of 53.
Record the quotient 1 as the next digit in the result. 
Result so far: 821.35051
Subtract 97 from 150 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 11:
97 goes into 530 5 times with a remainder of 45.
The next digit of our result is 5. 
Result so far: 821.350515
If we subtract 485 from 530, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
When dividing 450 by 97, we get 4 with a remainder of 62.
The next digit of our result is 4. 
Result so far: 821.3505154
If we subtract 388 from 450, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 13:
If we divide 620 by 97, we get 6 and a remainder of 38.
The number 6 becomes the next digit in our result. 
Result so far: 821.35051546
Subtract 582 from 620 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 821.35051546 with a balance of 3.8e-08.