Let's divide 406829 by 97
We want to figure out the number of times 406829 can be divided by 97.

On to step 1:
When dividing 4 by 97, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 97

Moving on to step 2:
97 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 40 leaves us with 40.
Take the next digit (6) from the dividend and append it to 40, then repeat: 406 / 97

Moving on to step 3:
The number 97 fits into 406 4 times, leaving a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 388 away from 406, we end up with 18.
Take the next digit (8) from the dividend and append it to 18, then repeat: 188 / 97

Advancing to step 4:
97 goes into 188 1 times with a remainder of 91.
Write down 1 as next digit of the result. 
Result so far: 41.0
Subtract 97 from 188 to get 91.
Append the next digit (2) from the dividend to 91 and continue with: 912 / 97

Advancing to step 5:
When dividing 912 by 97, we get 9 with a remainder of 39.
Write down 9 as next digit of the result. 
Result so far: 419.0
Deduct 873 from 912 and we're left with 39.
Fetch the next digit (9) from the dividend, attach it to 39 and continue: 399 / 97

Advancing to step 6:
If we divide 399 by 97, we get 4 and a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 4194.0
Deduct 388 from 399 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
When dividing 110 by 97, we get 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 4194.1
Deduct 97 from 110 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 8:
The number 97 fits into 130 1 times, leaving a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 4194.11
If we subtract 97 from 130, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 4194.11 with a remainder of 0.033.