355670 divided by 75 
We want to figure out the number of times 355670 can be divided by 75.

Let's proceed to step 1:
When dividing 3 by 75, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 75

On to step 2:
35 divided by 75 is 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 75

On to step 3:
355 divided by 75 is 4 with a remainder of 55.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 55 after subtracting 300 from 355.
Take the next digit (6) from the dividend and append it to 55, then repeat: 556 / 75

On to step 4:
75 goes into 556 7 times with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 47.0
If we subtract 525 from 556, we get 31.
Include the next digit (7) from the dividend after 31, then repeat: 317 / 75

Step 5:
The number 75 fits into 317 4 times, leaving a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 474.0
Subtracting 300 from 317 leaves us with 17.
Append the next digit (0) from the dividend to 17 and continue with: 170 / 75

On to step 6:
75 goes into 170 2 times with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 4742.0
Deduct 150 from 170 and we're left 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.

On to step 7:
75 can be fit into 200 2 times, resulting in a remainder of 50.
Write down 2 as next digit of the result. 
Result so far: 4742.2
If we take 150 away from 200, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
If we divide 500 by 75, we get 6 and a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 4742.26
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 4742.266
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 4742.266 with a remainder of 0.005.