Let's divide 103916 by 45
We want to figure out the number of times 103916 can be divided by 45.

Step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 45

Advancing to step 2:
When dividing 10 by 45, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 45

Going ahead to step 3:
The number 45 fits into 103 2 times, leaving a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 90 from 103 leaves us with 13.
Bring next digit (9) of the dividend behind the 13 and repeat the process: 139 / 45

Moving on to step 4:
The number 45 fits into 139 3 times, leaving a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 23.0
Subtracting 135 from 139 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 45

Let's proceed to step 5:
45 can be fit into 41 0 times, resulting in a remainder of 41.
The next digit of our result is 0. 
Result so far: 230.0
Subtract 0 from 41 to get 41.
Append the next digit (6) from the dividend to 41 and continue with: 416 / 45

Going ahead to step 6:
The number 45 fits into 416 9 times, leaving a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 2309.0
Subtracting 405 from 416 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
45 can be fit into 110 2 times, resulting in a remainder of 20.
The next digit of our result is 2. 
Result so far: 2309.2
Subtract 90 from 110 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
If we divide 200 by 45, we get 4 and a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 2309.24
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
If we divide 200 by 45, we get 4 and a remainder of 20.
The next digit of our result is 4. 
Result so far: 2309.244
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 2309.244 with a remaining 0.002.