We divide 105736 by 45
We want to figure out the number of times 105736 can be divided by 45.

Step 1:
45 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 45

Moving on to step 2:
When dividing 10 by 45, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 45

Step 3:
If we divide 105 by 45, we get 2 and a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 90 away from 105, we end up with 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 45

Let's proceed to step 4:
If we divide 157 by 45, we get 3 and a remainder of 22.
The next digit of our result is 3. 
Result so far: 23.0
Subtracting 135 from 157 leaves us with 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 45

Let's proceed to step 5:
45 can be fit into 223 4 times, resulting in a remainder of 43.
Write down 4 as next digit of the result. 
Result so far: 234.0
If we subtract 180 from 223, we get 43.
Bring next digit (6) of the dividend behind the 43 and repeat the process: 436 / 45

Moving on to step 6:
If we divide 436 by 45, we get 9 and a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 2349.0
Subtract 405 from 436 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
The number 45 fits into 310 6 times, leaving a remainder of 40.
The next digit of our result is 6. 
Result so far: 2349.6
Subtract 270 from 310 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
45 goes into 400 8 times with a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 2349.68
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
45 can be fit into 400 8 times, resulting in a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 2349.688
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 2349.688, with a leftover of 0.004.