34666 divided by 42 
We want to divide 34666 by 42.

On to step 1:
3 divided by 42 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 42

Let's proceed to step 2:
The number 42 fits into 34 0 times, leaving a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Include the next digit (6) from the dividend after 34, then repeat: 346 / 42

Moving on to step 3:
346 divided by 42 is 8 with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 10 after subtracting 336 from 346.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 42

Moving on to step 4:
When dividing 106 by 42, we get 2 with a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 82.0
Subtracting 84 from 106 leaves us with 22.
Grab the next digit (6) from the dividend, add it to 22, then carry on: 226 / 42

On to step 5:
42 can be fit into 226 5 times, resulting in a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 825.0
Subtract 210 from 226 to 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.

On to step 6:
If we divide 160 by 42, we get 3 and a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 825.3
If we subtract 126 from 160, we 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.

Step 7:
42 can be fit into 340 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 825.38
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.

Advancing to step 8:
The number 42 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 825.38
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
42 goes into 400 9 times with a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 825.3809
If we take 378 away from 400, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 10:
42 goes into 220 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 825.38095
Subtracting 210 from 220 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
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: 825.380952
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 12:
160 divided by 42 is 3 with a remainder of 34.
The next digit of our result is 3. 
Result so far: 825.3809523
If we subtract 126 from 160, we 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 13:
When dividing 340 by 42, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 825.38095238
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.

Our division results in 825.38095238 with a remaining 4e-09.