116106 divided by 45 
We want to figure out the number of times 116106 can be divided by 45.

Going ahead to step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 45

Moving on to step 2:
11 divided by 45 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 45

Step 3:
When dividing 116 by 45, we get 2 with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 90 from 116 leaves us with 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 45

Let's proceed to step 4:
261 divided by 45 is 5 with a remainder of 36.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Subtract 225 from 261 to get 36.
Append the next digit (0) from the dividend to 36 and continue with: 360 / 45

Step 5:
45 can be fit into 360 8 times, resulting in a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 258.0
The remainder is 0 after subtracting 360 from 360.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 45

On to step 6:
If we divide 6 by 45, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 2580.0
Subtract 0 from 6 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
45 can be fit into 60 1 times, resulting in a remainder of 15.
The next digit of our result is 1. 
Result so far: 2580.1
If we take 45 away from 60, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
The number 45 fits into 150 3 times, leaving a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 2580.13
If we take 135 away from 150, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
The number 45 fits into 150 3 times, leaving a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 2580.133
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 2580.133, with a leftover of 0.0015.