381905 ÷ 45 
We're looking to find how many times 45 goes into 381905.

Moving on to step 1:
The number 45 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 45

Let's proceed to step 2:
If we divide 38 by 45, we get 0 and a remainder of 38.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Take the next digit (1) from the dividend and append it to 38, then repeat: 381 / 45

Moving on to step 3:
If we divide 381 by 45, we get 8 and a remainder of 21.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 360 from 381 leaves us with 21.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 45

Step 4:
When dividing 219 by 45, we get 4 with a remainder of 39.
Put 4 as the next digit of the answer. 
Result so far: 84.0
Deduct 180 from 219 and we're left with 39.
Fetch the next digit (0) from the dividend, attach it to 39 and continue: 390 / 45

Let's proceed to step 5:
When dividing 390 by 45, we get 8 with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 848.0
Subtracting 360 from 390 leaves us with 30.
Fetch the next digit (5) from the dividend, attach it to 30 and continue: 305 / 45

Moving on to step 6:
If we divide 305 by 45, we get 6 and a remainder of 35.
The number 6 becomes the next digit in our result. 
Result so far: 8486.0
Subtract 270 from 305 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 7:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 8486.7
If we take 315 away from 350, 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.

Advancing to step 8:
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: 8486.77
Subtract 315 from 350 to get 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 8486.77, with a leftover of 0.035.