35810 ÷ 15 
We want to divide 35810 by 15.

Step 1:
If we divide 3 by 15, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 15

Let's proceed to step 2:
If we divide 35 by 15, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 30 away from 35, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 15

On to step 3:
58 divided by 15 is 3 with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Deduct 45 from 58 and we're left with 13.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 15

Let's proceed to step 4:
15 can be fit into 131 8 times, resulting in a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 238.0
Deduct 120 from 131 and we're left with 11.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 15

Going ahead to step 5:
If we divide 110 by 15, we get 7 and a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 2387.0
Deduct 105 from 110 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 6:
15 goes into 50 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 2387.3
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
15 goes into 50 3 times with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 2387.33
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 2387.33, and the remainder is 0.005.