We look at the division of 409971 by 97 
We want to divide 409971 by 97.

Advancing to step 1:
When dividing 4 by 97, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 97

On to step 2:
40 divided by 97 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Fetch the next digit (9) from the dividend, attach it to 40 and continue: 409 / 97

Step 3:
The number 97 fits into 409 4 times, leaving a remainder of 21.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 388 from 409 leaves us with 21.
Take the next digit (9) from the dividend and append it to 21, then repeat: 219 / 97

Advancing to step 4:
97 can be fit into 219 2 times, resulting in a remainder of 25.
The next digit of our result is 2. 
Result so far: 42.0
Subtract 194 from 219 to get 25.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 97

Step 5:
The number 97 fits into 257 2 times, leaving a remainder of 63.
Use 2 as the next digit of our solution. 
Result so far: 422.0
Subtracting 194 from 257 leaves us with 63.
Append the next digit (1) from the dividend to 63 and continue with: 631 / 97

Moving on to step 6:
The number 97 fits into 631 6 times, leaving a remainder of 49.
Write down 6 as next digit of the result. 
Result so far: 4226.0
Deduct 582 from 631 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:
97 can be fit into 490 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 4226.5
Subtracting 485 from 490 leaves us 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.

Advancing to step 8:
97 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 4226.5
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
If we divide 500 by 97, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 4226.505
If we subtract 485 from 500, we 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.

On to step 10:
When dividing 150 by 97, we get 1 with a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 4226.5051
The remainder is 53 after subtracting 97 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 11:
530 divided by 97 is 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 4226.50515
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.

Moving on to step 12:
If we divide 450 by 97, we get 4 and a remainder of 62.
Put 4 as the next digit of the answer. 
Result so far: 4226.505154
Deduct 388 from 450 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 13:
If we divide 620 by 97, we get 6 and a remainder of 38.
Record the quotient 6 as the next digit in the result. 
Result so far: 4226.5051546
Subtracting 582 from 620 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 14:
380 divided by 97 is 3 with a remainder of 89.
The next digit of our result is 3. 
Result so far: 4226.50515463
Deduct 291 from 380 and we're left with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

The final result is 4226.50515463 with a remainder of 8.9e-08.