We look at the division of 166971 by 25 
Our goal is to divide 166971 by 25.

On to step 1:
When dividing 1 by 25, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 25

Moving on to step 2:
16 divided by 25 is 0 with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 25

Let's proceed to step 3:
The number 25 fits into 166 6 times, leaving a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 150 from 166 and we're left with 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 25

Advancing to step 4:
When dividing 169 by 25, we get 6 with a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 66.0
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

Step 5:
If we divide 197 by 25, we get 7 and a remainder of 22.
Write down 7 as next digit of the result. 
Result so far: 667.0
The remainder is 22 after subtracting 175 from 197.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 25

Advancing to step 6:
25 can be fit into 221 8 times, resulting in a remainder of 21.
The number 8 becomes the next digit in our result. 
Result so far: 6678.0
Subtract 200 from 221 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
If we divide 210 by 25, we get 8 and a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 6678.8
If we subtract 200 from 210, we 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.

Advancing to step 8:
The number 25 fits into 100 4 times, leaving a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 6678.84
If we subtract 100 from 100, we 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.

Let's proceed to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 6678.84
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 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6678.84
If we take 0 away from 0, we end up 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.

In conclusion, the division gives 6678.84 with a balance of 0.0.