We're dividing 427003 by 42 
We're looking to find how many times 42 goes into 427003.

Step 1:
The number 42 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 42

On to step 2:
42 can be fit into 42 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 42 from 42 and we're left with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 42

Let's proceed to step 3:
When dividing 7 by 42, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 7, we end up with 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 42

Advancing to step 4:
The number 42 fits into 70 1 times, leaving a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
If we take 42 away from 70, we end up with 28.
Bring next digit (0) of the dividend behind the 28 and repeat the process: 280 / 42

Moving on to step 5:
When dividing 280 by 42, we get 6 with a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 1016.0
If we take 252 away from 280, we end up with 28.
Grab the next digit (3) from the dividend, add it to 28, then carry on: 283 / 42

Step 6:
If we divide 283 by 42, we get 6 and a remainder of 31.
Put 6 as the next digit of the answer. 
Result so far: 10166.0
If we subtract 252 from 283, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
310 divided by 42 is 7 with a remainder of 16.
The number 7 becomes the next digit in our result. 
Result so far: 10166.7
Deduct 294 from 310 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
42 goes into 160 3 times with a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 10166.73
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
When dividing 340 by 42, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 10166.738
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
42 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 10166.738
If we subtract 0 from 40, we 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.

On to step 11:
If we divide 400 by 42, we get 9 and a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 10166.73809
Subtract 378 from 400 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
The number 42 fits into 220 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 10166.738095
Subtract 210 from 220 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.

Advancing to step 13:
100 divided by 42 is 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 10166.7380952
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 10166.73809523
Subtract 126 from 160 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.

The final result is 10166.73809523 with a remainder of 3.4e-08.