We divide 31757 by 75
We want to divide 31757 by 75.

Moving on to step 1:
75 goes into 3 0 times 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.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 75

Let's proceed to step 2:
75 goes into 31 0 times with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Grab the next digit (7) from the dividend, add it to 31, then carry on: 317 / 75

Going ahead to step 3:
317 divided by 75 is 4 with a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 300 from 317 leaves us with 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 75

Step 4:
75 goes into 175 2 times with a remainder of 25.
Put 2 as the next digit of the answer. 
Result so far: 42.0
The remainder is 25 after subtracting 150 from 175.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 75

On to step 5:
257 divided by 75 is 3 with a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 423.0
The remainder is 32 after subtracting 225 from 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 6:
75 goes into 320 4 times with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 423.4
Subtracting 300 from 320 leaves us 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.

Advancing to step 7:
75 goes into 200 2 times with a remainder of 50.
Use 2 as the next digit of our solution. 
Result so far: 423.42
Subtracting 150 from 200 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.

Let's proceed to step 8:
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: 423.426
If we subtract 450 from 500, we 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:
500 divided by 75 is 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 423.4266
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 final result is 423.4266 with a remainder of 0.0005.