126968 ÷ 75 
We're looking to find how many times 75 goes into 126968.

Moving on to step 1:
When dividing 1 by 75, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 75

Let's proceed to step 2:
When dividing 12 by 75, we get 0 with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 75

Moving on to step 3:
The number 75 fits into 126 1 times, leaving a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 75 from 126 leaves us with 51.
Bring next digit (9) of the dividend behind the 51 and repeat the process: 519 / 75

Going ahead to step 4:
If we divide 519 by 75, we get 6 and a remainder of 69.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtract 450 from 519 to get 69.
Append the next digit (6) from the dividend to 69 and continue with: 696 / 75

Advancing to step 5:
If we divide 696 by 75, we get 9 and a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 169.0
Subtracting 675 from 696 leaves us with 21.
Bring next digit (8) of the dividend behind the 21 and repeat the process: 218 / 75

On to step 6:
When dividing 218 by 75, we get 2 with a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 1692.0
Subtracting 150 from 218 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 7:
When dividing 680 by 75, we get 9 with a remainder of 5.
The next digit of our result is 9. 
Result so far: 1692.9
Subtract 675 from 680 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.

Step 8:
75 can be fit into 50 0 times, resulting in a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 1692.9
Deduct 0 from 50 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.

Going ahead to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 1692.906
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.

Going ahead to step 10:
75 goes into 500 6 times with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 1692.9066
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 quotient of the division is 1692.9066, and the remainder is 0.0005.