We look at the division of 945163 by 42 
We're looking to find how many times 42 goes into 945163.

Let's proceed to step 1:
9 divided by 42 is 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 42

On to step 2:
42 goes into 94 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 10 after subtracting 84 from 94.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 42

Step 3:
When dividing 105 by 42, we get 2 with a remainder of 21.
Write down 2 as next digit of the result. 
Result so far: 22.0
If we take 84 away from 105, we end up with 21.
Append the next digit (1) from the dividend to 21 and continue with: 211 / 42

Going ahead to step 4:
42 goes into 211 5 times with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 225.0
Subtract 210 from 211 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 42

Going ahead to step 5:
The number 42 fits into 16 0 times, leaving a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 2250.0
Subtracting 0 from 16 leaves us with 16.
Take the next digit (3) from the dividend and append it to 16, then repeat: 163 / 42

Step 6:
42 goes into 163 3 times with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 22503.0
If we take 126 away from 163, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 7:
42 goes into 370 8 times with a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 22503.8
Subtract 336 from 370 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
If we divide 340 by 42, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 22503.88
If we subtract 336 from 340, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 22503.88 and a remainder of 0.004.