We look at the division of 347830 by 75 
We're looking to find how many times 75 goes into 347830.

Let's proceed to step 1:
If we divide 3 by 75, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 75

Going ahead to step 2:
The number 75 fits into 34 0 times, leaving a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Append the next digit (7) from the dividend to 34 and continue with: 347 / 75

Advancing to step 3:
The number 75 fits into 347 4 times, leaving a remainder of 47.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 300 from 347 to get 47.
Take the next digit (8) from the dividend and append it to 47, then repeat: 478 / 75

Advancing to step 4:
75 goes into 478 6 times with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 46.0
Subtract 450 from 478 to get 28.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 75

Advancing to step 5:
If we divide 283 by 75, we get 3 and a remainder of 58.
Put 3 as the next digit of the answer. 
Result so far: 463.0
The remainder is 58 after subtracting 225 from 283.
Grab the next digit (0) from the dividend, add it to 58, then carry on: 580 / 75

Moving on to step 6:
75 can be fit into 580 7 times, resulting in a remainder of 55.
Record the quotient 7 as the next digit in the result. 
Result so far: 4637.0
If we subtract 525 from 580, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 7:
If we divide 550 by 75, we get 7 and a remainder of 25.
Record the quotient 7 as the next digit in the result. 
Result so far: 4637.7
Deduct 525 from 550 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
75 goes into 250 3 times with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 4637.73
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 4637.733
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 4637.733, and the remainder is 0.0025.