410626 ÷ 97 
Our goal is to divide 410626 by 97.

On to step 1:
97 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 97

Step 2:
41 divided by 97 is 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Bring next digit (0) of the dividend behind the 41 and repeat the process: 410 / 97

Advancing to step 3:
410 divided by 97 is 4 with a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 388 from 410 leaves us with 22.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 97

Step 4:
If we divide 226 by 97, we get 2 and a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 42.0
Subtracting 194 from 226 leaves us with 32.
Include the next digit (2) from the dividend after 32, then repeat: 322 / 97

Moving on to step 5:
322 divided by 97 is 3 with a remainder of 31.
Record the quotient 3 as the next digit in the result. 
Result so far: 423.0
Subtract 291 from 322 to get 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 97

Going ahead to step 6:
97 goes into 316 3 times with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 4233.0
If we take 291 away from 316, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
When dividing 250 by 97, we get 2 with a remainder of 56.
Put 2 as the next digit of the answer. 
Result so far: 4233.2
Subtracting 194 from 250 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
560 divided by 97 is 5 with a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 4233.25
If we subtract 485 from 560, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 9:
97 goes into 750 7 times with a remainder of 71.
Write down 7 as next digit of the result. 
Result so far: 4233.257
The remainder is 71 after subtracting 679 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Moving on to step 10:
710 divided by 97 is 7 with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 4233.2577
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.

In conclusion, the division gives 4233.2577 with a balance of 0.00031.