Let's divide 353950 by 45
We want to figure out the number of times 353950 can be divided by 45.

Moving on to step 1:
3 divided by 45 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 45

Moving on to step 2:
45 goes into 35 0 times with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Grab the next digit (3) from the dividend, add it to 35, then carry on: 353 / 45

On to step 3:
The number 45 fits into 353 7 times, leaving a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 315 from 353 and we're left with 38.
Take the next digit (9) from the dividend and append it to 38, then repeat: 389 / 45

Moving on to step 4:
The number 45 fits into 389 8 times, leaving a remainder of 29.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
If we subtract 360 from 389, we get 29.
Append the next digit (5) from the dividend to 29 and continue with: 295 / 45

Step 5:
When dividing 295 by 45, we get 6 with a remainder of 25.
Use 6 as the next digit of our solution. 
Result so far: 786.0
The remainder is 25 after subtracting 270 from 295.
Take the next digit (0) from the dividend and append it to 25, then repeat: 250 / 45

Moving on to step 6:
When dividing 250 by 45, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 7865.0
If we subtract 225 from 250, we 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.

Advancing to step 7:
The number 45 fits into 250 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 7865.5
Deduct 225 from 250 and we're left 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.

Going ahead to step 8:
45 can be fit into 250 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 7865.55
Subtracting 225 from 250 leaves us 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.

Our division results in 7865.55 with a remaining 0.025.