We divide 659645 by 42
Our goal is to divide 659645 by 42.

Moving on to step 1:
42 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 42

Advancing to step 2:
42 can be fit into 65 1 times, resulting in a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 42 away from 65, we end up with 23.
Include the next digit (9) from the dividend after 23, then repeat: 239 / 42

Advancing to step 3:
42 can be fit into 239 5 times, resulting in a remainder of 29.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 210 from 239 and we're left with 29.
Grab the next digit (6) from the dividend, add it to 29, then carry on: 296 / 42

Step 4:
42 goes into 296 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 157.0
Deduct 294 from 296 and we're left with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 42

Let's proceed to step 5:
42 can be fit into 24 0 times, resulting in a remainder of 24.
Write down 0 as next digit of the result. 
Result so far: 1570.0
The remainder is 24 after subtracting 0 from 24.
Fetch the next digit (5) from the dividend, attach it to 24 and continue: 245 / 42

Step 6:
When dividing 245 by 42, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 15705.0
The remainder is 35 after subtracting 210 from 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
The number 42 fits into 350 8 times, leaving a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 15705.8
Subtracting 336 from 350 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.

Step 8:
140 divided by 42 is 3 with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 15705.83
Deduct 126 from 140 and we're left 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.

Going ahead to step 9:
42 can be fit into 140 3 times, resulting in a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 15705.833
The remainder is 14 after subtracting 126 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 15705.833 with a remainder of 0.0014.