Let's divide 841377 by 45
We're looking to find how many times 45 goes into 841377.

Going ahead to step 1:
If we divide 8 by 45, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 45

Let's proceed to step 2:
The number 45 fits into 84 1 times, leaving a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 45 from 84 leaves us with 39.
Bring next digit (1) of the dividend behind the 39 and repeat the process: 391 / 45

On to step 3:
45 goes into 391 8 times with a remainder of 31.
Write down 8 as next digit of the result. 
Result so far: 18.0
If we subtract 360 from 391, we get 31.
Bring next digit (3) of the dividend behind the 31 and repeat the process: 313 / 45

Going ahead to step 4:
45 goes into 313 6 times with a remainder of 43.
Write down 6 as next digit of the result. 
Result so far: 186.0
Subtracting 270 from 313 leaves us with 43.
Bring next digit (7) of the dividend behind the 43 and repeat the process: 437 / 45

Step 5:
45 goes into 437 9 times with a remainder of 32.
Write down 9 as next digit of the result. 
Result so far: 1869.0
The remainder is 32 after subtracting 405 from 437.
Include the next digit (7) from the dividend after 32, then repeat: 327 / 45

Moving on to step 6:
327 divided by 45 is 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 18697.0
If we subtract 315 from 327, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
If we divide 120 by 45, we get 2 and a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 18697.2
Deduct 90 from 120 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
When dividing 300 by 45, we get 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 18697.26
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
When dividing 300 by 45, we get 6 with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 18697.266
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 18697.266 with a balance of 0.003.