Let's divide 42766 by 35
We want to figure out the number of times 42766 can be divided by 35.

Let's proceed to step 1:
4 divided by 35 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 35

Let's proceed to step 2:
If we divide 42 by 35, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 35 from 42 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 35

Advancing to step 3:
If we divide 77 by 35, we get 2 and a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 7 after subtracting 70 from 77.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 35

Moving on to step 4:
When dividing 76 by 35, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 122.0
The remainder is 6 after subtracting 70 from 76.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 35

Advancing to step 5:
When dividing 66 by 35, we get 1 with a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 1221.0
The remainder is 31 after subtracting 35 from 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 6:
When dividing 310 by 35, we get 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 1221.8
Subtract 280 from 310 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 1221.88
If we take 280 away from 300, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 1221.88, with a leftover of 0.02.