We look at the division of 346665 by 42 
Our goal is to divide 346665 by 42.

On to step 1:
42 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 42

Let's proceed to step 2:
34 divided by 42 is 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 42

On to step 3:
42 goes into 346 8 times with a remainder of 10.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 10 after subtracting 336 from 346.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 42

Moving on to step 4:
When dividing 106 by 42, we get 2 with a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Subtracting 84 from 106 leaves us with 22.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 42

Moving on to step 5:
When dividing 226 by 42, we get 5 with a remainder of 16.
Use 5 as the next digit of our solution. 
Result so far: 825.0
If we subtract 210 from 226, we get 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 42

Let's proceed to step 6:
165 divided by 42 is 3 with a remainder of 39.
Use 3 as the next digit of our solution. 
Result so far: 8253.0
Subtract 126 from 165 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 7:
390 divided by 42 is 9 with a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 8253.9
Subtracting 378 from 390 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
When dividing 120 by 42, we get 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 8253.92
Subtracting 84 from 120 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 9:
42 can be fit into 360 8 times, resulting in a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 8253.928
Deduct 336 from 360 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
42 can be fit into 240 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 8253.9285
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
42 goes into 300 7 times with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 8253.92857
Subtracting 294 from 300 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
42 goes into 60 1 times with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 8253.928571
Subtracting 42 from 60 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 13:
42 can be fit into 180 4 times, resulting in a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 8253.9285714
If we take 168 away from 180, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
When dividing 120 by 42, we get 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 8253.92857142
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 8253.92857142 with a remaining 3.6e-08.