We look at the division of 66177171 by 181 
Our goal is to divide 66177171 by 181.

Moving on to step 1:
The number 181 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 181

Let's proceed to step 2:
If we divide 66 by 181, we get 0 and a remainder of 66.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 66 to get 66.
Include the next digit (1) from the dividend after 66, then repeat: 661 / 181

Let's proceed to step 3:
181 goes into 661 3 times with a remainder of 118.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 543 from 661 to get 118.
Take the next digit (7) from the dividend and append it to 118, then repeat: 1187 / 181

On to step 4:
The number 181 fits into 1187 6 times, leaving a remainder of 101.
Put 6 as the next digit of the answer. 
Result so far: 36.0
Deduct 1086 from 1187 and we're left with 101.
Take the next digit (7) from the dividend and append it to 101, then repeat: 1017 / 181

Let's proceed to step 5:
The number 181 fits into 1017 5 times, leaving a remainder of 112.
Record the quotient 5 as the next digit in the result. 
Result so far: 365.0
The remainder is 112 after subtracting 905 from 1017.
Append the next digit (1) from the dividend to 112 and continue with: 1121 / 181

Let's proceed to step 6:
1121 divided by 181 is 6 with a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 3656.0
If we take 1086 away from 1121, we end up with 35.
Bring next digit (7) of the dividend behind the 35 and repeat the process: 357 / 181

On to step 7:
If we divide 357 by 181, we get 1 and a remainder of 176.
Write down 1 as next digit of the result. 
Result so far: 36561.0
Subtracting 181 from 357 leaves us with 176.
Bring next digit (1) of the dividend behind the 176 and repeat the process: 1761 / 181

Let's proceed to step 8:
181 can be fit into 1761 9 times, resulting in a remainder of 132.
The next digit of our result is 9. 
Result so far: 365619.0
Subtract 1629 from 1761 to get 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

On to step 9:
1320 divided by 181 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 365619.7
If we subtract 1267 from 1320, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 10:
If we divide 530 by 181, we get 2 and a remainder of 168.
Record the quotient 2 as the next digit in the result. 
Result so far: 365619.72
Subtract 362 from 530 to get 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

On to step 11:
If we divide 1680 by 181, we get 9 and a remainder of 51.
Put 9 as the next digit of the answer. 
Result so far: 365619.729
Subtracting 1629 from 1680 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 12:
181 goes into 510 2 times with a remainder of 148.
Put 2 as the next digit of the answer. 
Result so far: 365619.7292
Subtract 362 from 510 to get 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Moving on to step 13:
If we divide 1480 by 181, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 365619.72928
Subtract 1448 from 1480 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 14:
181 can be fit into 320 1 times, resulting in a remainder of 139.
The next digit of our result is 1. 
Result so far: 365619.729281
Deduct 181 from 320 and we're left with 139.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1390, and continue the process.

Going ahead to step 15:
When dividing 1390 by 181, we get 7 with a remainder of 123.
Record the quotient 7 as the next digit in the result. 
Result so far: 365619.7292817
If we take 1267 away from 1390, we end up with 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

Step 16:
181 can be fit into 1230 6 times, resulting in a remainder of 144.
Write down 6 as next digit of the result. 
Result so far: 365619.72928176
If we take 1086 away from 1230, we end up with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

In conclusion, the division gives 365619.72928176 with a balance of 1.44e-07.