We look at the division of 253177 by 66 
We're looking to find how many times 66 goes into 253177.

Moving on to step 1:
When dividing 2 by 66, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 66

Going ahead to step 2:
The number 66 fits into 25 0 times, leaving a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Take the next digit (3) from the dividend and append it to 25, then repeat: 253 / 66

Let's proceed to step 3:
253 divided by 66 is 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 198 from 253 to get 55.
Grab the next digit (1) from the dividend, add it to 55, then carry on: 551 / 66

Let's proceed to step 4:
551 divided by 66 is 8 with a remainder of 23.
The next digit of our result is 8. 
Result so far: 38.0
Subtracting 528 from 551 leaves us with 23.
Fetch the next digit (7) from the dividend, attach it to 23 and continue: 237 / 66

Let's proceed to step 5:
66 goes into 237 3 times with a remainder of 39.
The number 3 becomes the next digit in our result. 
Result so far: 383.0
Subtract 198 from 237 to get 39.
Bring next digit (7) of the dividend behind the 39 and repeat the process: 397 / 66

On to step 6:
When dividing 397 by 66, we get 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 3836.0
Subtract 396 from 397 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
When dividing 10 by 66, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 3836.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
66 can be fit into 100 1 times, resulting in a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 3836.01
If we subtract 66 from 100, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 9:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 3836.015
Subtract 330 from 340 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.

Let's proceed to step 10:
66 goes into 100 1 times with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 3836.0151
Subtracting 66 from 100 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 11:
66 can be fit into 340 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 3836.01515
If we take 330 away from 340, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
100 divided by 66 is 1 with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 3836.015151
If we take 66 away from 100, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 13:
When dividing 340 by 66, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 3836.0151515
Subtracting 330 from 340 leaves us with 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 14:
If we divide 100 by 66, we get 1 and a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 3836.01515151
Subtracting 66 from 100 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 3836.01515151 and a remainder of 3.4e-08.