We divide 116113 by 45
We want to figure out the number of times 116113 can be divided by 45.

Step 1:
45 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 45

On to step 2:
When dividing 11 by 45, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 45

Going ahead to step 3:
The number 45 fits into 116 2 times, leaving 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.
Append the next digit (1) from the dividend to 26 and continue with: 261 / 45

On to step 4:
When dividing 261 by 45, we get 5 with a remainder of 36.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Subtract 225 from 261 to get 36.
Fetch the next digit (1) from the dividend, attach it to 36 and continue: 361 / 45

Let's proceed to step 5:
45 goes into 361 8 times with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 258.0
If we take 360 away from 361, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 45

Moving on to step 6:
45 goes into 13 0 times with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 2580.0
Subtract 0 from 13 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
The number 45 fits into 130 2 times, leaving a remainder of 40.
The next digit of our result is 2. 
Result so far: 2580.2
Subtracting 90 from 130 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
When dividing 400 by 45, we get 8 with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 2580.28
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
400 divided by 45 is 8 with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 2580.288
Subtract 360 from 400 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.

The quotient of the division is 2580.288, and the remainder is 0.004.