43775858 ÷ 905 
We want to figure out the number of times 43775858 can be divided by 905.

Going ahead to step 1:
When dividing 4 by 905, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 905

On to step 2:
When dividing 43 by 905, we get 0 with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Append the next digit (7) from the dividend to 43 and continue with: 437 / 905

Moving on to step 3:
437 divided by 905 is 0 with a remainder of 437.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 437 and we're left with 437.
Bring next digit (7) of the dividend behind the 437 and repeat the process: 4377 / 905

Let's proceed to step 4:
4377 divided by 905 is 4 with a remainder of 757.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 3620 away from 4377, we end up with 757.
Fetch the next digit (5) from the dividend, attach it to 757 and continue: 7575 / 905

Moving on to step 5:
When dividing 7575 by 905, we get 8 with a remainder of 335.
The next digit of our result is 8. 
Result so far: 48.0
If we subtract 7240 from 7575, we get 335.
Grab the next digit (8) from the dividend, add it to 335, then carry on: 3358 / 905

Let's proceed to step 6:
When dividing 3358 by 905, we get 3 with a remainder of 643.
The number 3 becomes the next digit in our result. 
Result so far: 483.0
If we subtract 2715 from 3358, we get 643.
Include the next digit (5) from the dividend after 643, then repeat: 6435 / 905

Let's proceed to step 7:
The number 905 fits into 6435 7 times, leaving a remainder of 100.
Put 7 as the next digit of the answer. 
Result so far: 4837.0
The remainder is 100 after subtracting 6335 from 6435.
Include the next digit (8) from the dividend after 100, then repeat: 1008 / 905

Let's proceed to step 8:
When dividing 1008 by 905, we get 1 with a remainder of 103.
Use 1 as the next digit of our solution. 
Result so far: 48371.0
The remainder is 103 after subtracting 905 from 1008.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Step 9:
If we divide 1030 by 905, we get 1 and a remainder of 125.
Write down 1 as next digit of the result. 
Result so far: 48371.1
The remainder is 125 after subtracting 905 from 1030.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Step 10:
When dividing 1250 by 905, we get 1 with a remainder of 345.
Use 1 as the next digit of our solution. 
Result so far: 48371.11
Deduct 905 from 1250 and we're left with 345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3450, and continue the process.

After the division, we end up with 48371.11 and a remainder of 0.345.