45311 divided by 42 
We're looking to find how many times 42 goes into 45311.

Moving on to step 1:
If we divide 4 by 42, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 42

Moving on to step 2:
42 can be fit into 45 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 3 after subtracting 42 from 45.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 42

Moving on to step 3:
42 can be fit into 33 0 times, resulting in a remainder of 33.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 33 leaves us with 33.
Bring next digit (1) of the dividend behind the 33 and repeat the process: 331 / 42

Advancing to step 4:
If we divide 331 by 42, we get 7 and a remainder of 37.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
Subtracting 294 from 331 leaves us with 37.
Bring next digit (1) of the dividend behind the 37 and repeat the process: 371 / 42

Step 5:
The number 42 fits into 371 8 times, leaving a remainder of 35.
The next digit of our result is 8. 
Result so far: 1078.0
The remainder is 35 after subtracting 336 from 371.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 6:
The number 42 fits into 350 8 times, leaving a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 1078.8
Subtract 336 from 350 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
When dividing 140 by 42, we get 3 with a remainder of 14.
The next digit of our result is 3. 
Result so far: 1078.83
If we take 126 away from 140, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
The number 42 fits into 140 3 times, leaving a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 1078.833
Subtracting 126 from 140 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 1078.833, and the remainder is 0.0014.