We look at the division of 3675 by 5 
We're looking to find how many times 5 goes into 3675.

Advancing to step 1:
3 divided by 5 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 5

Moving on to step 2:
The number 5 fits into 36 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 35 from 36, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 5

On to step 3:
When dividing 17 by 5, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 73.0
Subtract 15 from 17 to get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 5

Moving on to step 4:
When dividing 25 by 5, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 735.0
Deduct 25 from 25 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 5:
5 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 735.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 6:
When dividing 0 by 5, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 735.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 735.0, and the remainder is 0.0.