We're dividing 665464 by 42 
We want to divide 665464 by 42.

Moving on to step 1:
If we divide 6 by 42, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 42

Advancing to step 2:
66 divided by 42 is 1 with a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 42 away from 66, we end up with 24.
Fetch the next digit (5) from the dividend, attach it to 24 and continue: 245 / 42

Going ahead to step 3:
When dividing 245 by 42, we get 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 210 away from 245, we end up with 35.
Include the next digit (4) from the dividend after 35, then repeat: 354 / 42

Going ahead to step 4:
354 divided by 42 is 8 with a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 158.0
Subtracting 336 from 354 leaves us with 18.
Fetch the next digit (6) from the dividend, attach it to 18 and continue: 186 / 42

Moving on to step 5:
When dividing 186 by 42, we get 4 with a remainder of 18.
The next digit of our result is 4. 
Result so far: 1584.0
Subtract 168 from 186 to get 18.
Take the next digit (4) from the dividend and append it to 18, then repeat: 184 / 42

Let's proceed to step 6:
If we divide 184 by 42, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 15844.0
The remainder is 16 after subtracting 168 from 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
160 divided by 42 is 3 with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 15844.3
Deduct 126 from 160 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
340 divided by 42 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 15844.38
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.

Let's proceed to step 9:
40 divided by 42 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 15844.38
Subtract 0 from 40 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.

Moving on to step 10:
When dividing 400 by 42, we get 9 with a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 15844.3809
The remainder is 22 after subtracting 378 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 11:
220 divided by 42 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 15844.38095
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
If we divide 100 by 42, we get 2 and a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 15844.380952
If we take 84 away from 100, we end up 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.

Advancing to step 13:
42 goes into 160 3 times with a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 15844.3809523
Deduct 126 from 160 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 14:
When dividing 340 by 42, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 15844.38095238
Subtracting 336 from 340 leaves us with 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 15844.38095238 and a remainder of 4e-09.