35762 ÷ 3 
Our goal is to divide 35762 by 3.

Moving on to step 1:
3 goes into 3 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 3 from 3 leaves us with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 3

Advancing to step 2:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtract 3 from 5 to get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 3

Moving on to step 3:
3 goes into 27 9 times with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 119.0
The remainder is 0 after subtracting 27 from 27.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 3

Moving on to step 4:
The number 3 fits into 6 2 times, leaving a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 1192.0
If we take 6 away from 6, we end up with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 3

Step 5:
When dividing 2 by 3, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 11920.0
Deduct 0 from 2 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 6:
20 divided by 3 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 11920.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
20 divided by 3 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 11920.66
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 11920.66 with a remaining 0.002.