We divide 16979 by 25
We're looking to find how many times 25 goes into 16979.

Let's proceed to step 1:
When dividing 1 by 25, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 25

On to step 2:
25 goes into 16 0 times with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 16 and we're left with 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 25

Step 3:
When dividing 169 by 25, we get 6 with a remainder of 19.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 150 from 169 leaves us with 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 25

Advancing to step 4:
The number 25 fits into 197 7 times, leaving a remainder of 22.
Write down 7 as next digit of the result. 
Result so far: 67.0
Deduct 175 from 197 and we're left with 22.
Take the next digit (9) from the dividend and append it to 22, then repeat: 229 / 25

Let's proceed to step 5:
25 goes into 229 9 times with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 679.0
The remainder is 4 after subtracting 225 from 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 6:
25 can be fit into 40 1 times, resulting in a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 679.1
If we take 25 away from 40, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
150 divided by 25 is 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 679.16
Subtract 150 from 150 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 679.16
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 679.16
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 679.16, and the remainder is 0.0.