Let's divide 138844 by 45
We want to figure out the number of times 138844 can be divided by 45.

On to step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 45

Going ahead to step 2:
45 can be fit into 13 0 times, resulting in a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 45

Step 3:
If we divide 138 by 45, we get 3 and a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 135 away from 138, we end up with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 45

Let's proceed to step 4:
If we divide 38 by 45, we get 0 and a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 30.0
If we subtract 0 from 38, we get 38.
Grab the next digit (4) from the dividend, add it to 38, then carry on: 384 / 45

Moving on to step 5:
If we divide 384 by 45, we get 8 and a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 308.0
Subtracting 360 from 384 leaves us with 24.
Bring next digit (4) of the dividend behind the 24 and repeat the process: 244 / 45

Advancing to step 6:
45 can be fit into 244 5 times, resulting in a remainder of 19.
The number 5 becomes the next digit in our result. 
Result so far: 3085.0
Subtracting 225 from 244 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
If we divide 190 by 45, we get 4 and a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 3085.4
Subtracting 180 from 190 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
45 goes into 100 2 times with a remainder of 10.
The next digit of our result is 2. 
Result so far: 3085.42
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
The number 45 fits into 100 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 3085.422
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 3085.422, and the remainder is 0.001.