We look at the division of 360166 by 51 
We want to figure out the number of times 360166 can be divided by 51.

Let's proceed to step 1:
51 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 51

Advancing to step 2:
If we divide 36 by 51, we get 0 and a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 36 after subtracting 0 from 36.
Include the next digit (0) from the dividend after 36, then repeat: 360 / 51

Advancing to step 3:
360 divided by 51 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 357 from 360, we get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 51

Advancing to step 4:
51 goes into 31 0 times with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 70.0
Deduct 0 from 31 and we're left with 31.
Bring next digit (6) of the dividend behind the 31 and repeat the process: 316 / 51

Moving on to step 5:
When dividing 316 by 51, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 706.0
The remainder is 10 after subtracting 306 from 316.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 51

Step 6:
51 goes into 106 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 7062.0
Subtract 102 from 106 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
40 divided by 51 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 7062.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
400 divided by 51 is 7 with a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 7062.07
The remainder is 43 after subtracting 357 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 9:
If we divide 430 by 51, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 7062.078
If we take 408 away from 430, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 10:
220 divided by 51 is 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 7062.0784
The remainder is 16 after subtracting 204 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
160 divided by 51 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 7062.07843
If we take 153 away from 160, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
51 goes into 70 1 times with a remainder of 19.
The next digit of our result is 1. 
Result so far: 7062.078431
The remainder is 19 after subtracting 51 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 13:
190 divided by 51 is 3 with a remainder of 37.
The next digit of our result is 3. 
Result so far: 7062.0784313
Subtracting 153 from 190 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 14:
370 divided by 51 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 7062.07843137
If we take 357 away from 370, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 7062.07843137, and the remainder is 1.3e-08.