We're dividing 257198 by 75 
Let's see how many times 75 fits into 257198.

Let's proceed to step 1:
2 divided by 75 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 75

Advancing to step 2:
When dividing 25 by 75, we get 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Include the next digit (7) from the dividend after 25, then repeat: 257 / 75

Advancing to step 3:
If we divide 257 by 75, we get 3 and a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 225 from 257 to get 32.
Append the next digit (1) from the dividend to 32 and continue with: 321 / 75

Moving on to step 4:
321 divided by 75 is 4 with a remainder of 21.
Write down 4 as next digit of the result. 
Result so far: 34.0
The remainder is 21 after subtracting 300 from 321.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 75

Going ahead to step 5:
When dividing 219 by 75, we get 2 with a remainder of 69.
The next digit of our result is 2. 
Result so far: 342.0
If we take 150 away from 219, we end up with 69.
Grab the next digit (8) from the dividend, add it to 69, then carry on: 698 / 75

Step 6:
If we divide 698 by 75, we get 9 and a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 3429.0
If we take 675 away from 698, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
If we divide 230 by 75, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 3429.3
Subtract 225 from 230 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
The number 75 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 3429.3
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
75 goes into 500 6 times with a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 3429.306
Deduct 450 from 500 and we're left 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.

Advancing to step 10:
When dividing 500 by 75, we get 6 with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 3429.3066
Subtract 450 from 500 to get 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 quotient of the division is 3429.3066, and the remainder is 0.0005.