We divide 397105 by 90
We want to figure out the number of times 397105 can be divided by 90.

Moving on to step 1:
If we divide 3 by 90, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 90

Moving on to step 2:
90 can be fit into 39 0 times, resulting in a remainder of 39.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 39, we end up with 39.
Bring next digit (7) of the dividend behind the 39 and repeat the process: 397 / 90

Let's proceed to step 3:
If we divide 397 by 90, we get 4 and a remainder of 37.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 360 from 397, we get 37.
Append the next digit (1) from the dividend to 37 and continue with: 371 / 90

Step 4:
If we divide 371 by 90, we get 4 and a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
Deduct 360 from 371 and we're left with 11.
Grab the next digit (0) from the dividend, add it to 11, then carry on: 110 / 90

Advancing to step 5:
If we divide 110 by 90, we get 1 and a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 441.0
The remainder is 20 after subtracting 90 from 110.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 90

Step 6:
The number 90 fits into 205 2 times, leaving a remainder of 25.
Put 2 as the next digit of the answer. 
Result so far: 4412.0
Subtract 180 from 205 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 7:
The number 90 fits into 250 2 times, leaving a remainder of 70.
Write down 2 as next digit of the result. 
Result so far: 4412.2
Deduct 180 from 250 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 8:
90 can be fit into 700 7 times, resulting in a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 4412.27
Deduct 630 from 700 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 9:
90 goes into 700 7 times with a remainder of 70.
Put 7 as the next digit of the answer. 
Result so far: 4412.277
If we subtract 630 from 700, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The final result is 4412.277 with a remainder of 0.007.