We look at the division of 413954 by 45 
Let's see how many times 45 fits into 413954.

On to step 1:
45 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 45

Going ahead to step 2:
The number 45 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (3) of the dividend behind the 41 and repeat the process: 413 / 45

Going ahead to step 3:
When dividing 413 by 45, we get 9 with a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 405 from 413 leaves us with 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 45

Step 4:
45 can be fit into 89 1 times, resulting in a remainder of 44.
Put 1 as the next digit of the answer. 
Result so far: 91.0
Subtract 45 from 89 to get 44.
Fetch the next digit (5) from the dividend, attach it to 44 and continue: 445 / 45

Moving on to step 5:
The number 45 fits into 445 9 times, leaving a remainder of 40.
The next digit of our result is 9. 
Result so far: 919.0
Deduct 405 from 445 and we're left with 40.
Bring next digit (4) of the dividend behind the 40 and repeat the process: 404 / 45

Advancing to step 6:
When dividing 404 by 45, we get 8 with a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 9198.0
Subtract 360 from 404 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 7:
45 can be fit into 440 9 times, resulting in a remainder of 35.
Write down 9 as next digit of the result. 
Result so far: 9198.9
If we take 405 away from 440, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
If we divide 350 by 45, we get 7 and a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 9198.97
Subtracting 315 from 350 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
When dividing 350 by 45, we get 7 with a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 9198.977
Subtracting 315 from 350 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 9198.977, with a leftover of 0.0035.