175974 ÷ 14 
We want to divide 175974 by 14.

Step 1:
14 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 14

Step 2:
The number 14 fits into 17 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 3 after subtracting 14 from 17.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 14

On to step 3:
When dividing 35 by 14, we get 2 with a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 28 away from 35, we end up with 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 14

Going ahead to step 4:
The number 14 fits into 79 5 times, leaving a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
If we subtract 70 from 79, we get 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 14

Moving on to step 5:
If we divide 97 by 14, we get 6 and a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 1256.0
Deduct 84 from 97 and we're left with 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 14

Going ahead to step 6:
134 divided by 14 is 9 with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 12569.0
Deduct 126 from 134 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
If we divide 80 by 14, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 12569.5
The remainder is 10 after subtracting 70 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
14 goes into 100 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 12569.57
Subtract 98 from 100 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
20 divided by 14 is 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 12569.571
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 12569.5714
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 12569.57142
Subtract 28 from 40 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.

On to step 12:
120 divided by 14 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 12569.571428
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
14 can be fit into 80 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 12569.5714285
Subtract 70 from 80 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
When dividing 100 by 14, we get 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 12569.57142857
If we subtract 98 from 100, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 12569.57142857, and the remainder is 2e-09.