25166645 ÷ 171 
We want to figure out the number of times 25166645 can be divided by 171.

Going ahead to step 1:
If we divide 2 by 171, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 171

Let's proceed to step 2:
If we divide 25 by 171, we get 0 and a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Take the next digit (1) from the dividend and append it to 25, then repeat: 251 / 171

Advancing to step 3:
When dividing 251 by 171, we get 1 with a remainder of 80.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 171 from 251, we get 80.
Include the next digit (6) from the dividend after 80, then repeat: 806 / 171

Going ahead to step 4:
If we divide 806 by 171, we get 4 and a remainder of 122.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtract 684 from 806 to get 122.
Include the next digit (6) from the dividend after 122, then repeat: 1226 / 171

Going ahead to step 5:
When dividing 1226 by 171, we get 7 with a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 147.0
If we subtract 1197 from 1226, we get 29.
Fetch the next digit (6) from the dividend, attach it to 29 and continue: 296 / 171

Going ahead to step 6:
When dividing 296 by 171, we get 1 with a remainder of 125.
Record the quotient 1 as the next digit in the result. 
Result so far: 1471.0
Subtracting 171 from 296 leaves us with 125.
Include the next digit (4) from the dividend after 125, then repeat: 1254 / 171

Step 7:
If we divide 1254 by 171, we get 7 and a remainder of 57.
Write down 7 as next digit of the result. 
Result so far: 14717.0
Subtract 1197 from 1254 to get 57.
Fetch the next digit (5) from the dividend, attach it to 57 and continue: 575 / 171

Going ahead to step 8:
If we divide 575 by 171, we get 3 and a remainder of 62.
Write down 3 as next digit of the result. 
Result so far: 147173.0
The remainder is 62 after subtracting 513 from 575.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 9:
If we divide 620 by 171, we get 3 and a remainder of 107.
The next digit of our result is 3. 
Result so far: 147173.3
Subtract 513 from 620 to get 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

Step 10:
If we divide 1070 by 171, we get 6 and a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 147173.36
Deduct 1026 from 1070 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 11:
When dividing 440 by 171, we get 2 with a remainder of 98.
The next digit of our result is 2. 
Result so far: 147173.362
Subtract 342 from 440 to get 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Going ahead to step 12:
171 goes into 980 5 times with a remainder of 125.
Put 5 as the next digit of the answer. 
Result so far: 147173.3625
Subtract 855 from 980 to get 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Going ahead to step 13:
171 can be fit into 1250 7 times, resulting in a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 147173.36257
Subtracting 1197 from 1250 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 14:
If we divide 530 by 171, we get 3 and a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 147173.362573
Subtracting 513 from 530 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 15:
171 goes into 170 0 times with a remainder of 170.
Record the quotient 0 as the next digit in the result. 
Result so far: 147173.362573
Subtracting 0 from 170 leaves us with 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Let's proceed to step 16:
When dividing 1700 by 171, we get 9 with a remainder of 161.
Use 9 as the next digit of our solution. 
Result so far: 147173.36257309
The remainder is 161 after subtracting 1539 from 1700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1610, and continue the process.

After the division, we end up with 147173.36257309 and a remainder of 1.61e-07.