75279 ÷ 42 
We want to divide 75279 by 42.

Going ahead to step 1:
42 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 42

Advancing to step 2:
The number 42 fits into 75 1 times, leaving a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 42 from 75, we get 33.
Include the next digit (2) from the dividend after 33, then repeat: 332 / 42

Let's proceed to step 3:
When dividing 332 by 42, we get 7 with a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we subtract 294 from 332, we get 38.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 42

Advancing to step 4:
42 can be fit into 387 9 times, resulting in a remainder of 9.
The next digit of our result is 9. 
Result so far: 179.0
Subtract 378 from 387 to get 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 42

Let's proceed to step 5:
42 can be fit into 99 2 times, resulting in a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 1792.0
If we subtract 84 from 99, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 6:
If we divide 150 by 42, we get 3 and a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 1792.3
If we take 126 away from 150, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
42 can be fit into 240 5 times, resulting in a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 1792.35
Subtract 210 from 240 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
When dividing 300 by 42, we get 7 with a remainder of 6.
The next digit of our result is 7. 
Result so far: 1792.357
If we take 294 away from 300, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
42 can be fit into 60 1 times, resulting in a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 1792.3571
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
42 can be fit into 180 4 times, resulting in a remainder of 12.
The next digit of our result is 4. 
Result so far: 1792.35714
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 11:
The number 42 fits into 120 2 times, leaving a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 1792.357142
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 12:
42 can be fit into 360 8 times, resulting in a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 1792.3571428
Subtracting 336 from 360 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 13:
42 goes into 240 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 1792.35714285
If we subtract 210 from 240, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 1792.35714285, and the remainder is 3e-08.