We look at the division of 360337 by 71 
We want to figure out the number of times 360337 can be divided by 71.

On to step 1:
If we divide 3 by 71, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 71

On to step 2:
The number 71 fits into 36 0 times, leaving a remainder of 36.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 36 to get 36.
Bring next digit (0) of the dividend behind the 36 and repeat the process: 360 / 71

Step 3:
360 divided by 71 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 355 from 360 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 71

Advancing to step 4:
53 divided by 71 is 0 with a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
Subtract 0 from 53 to get 53.
Grab the next digit (3) from the dividend, add it to 53, then carry on: 533 / 71

Let's proceed to step 5:
The number 71 fits into 533 7 times, leaving a remainder of 36.
The next digit of our result is 7. 
Result so far: 507.0
Subtract 497 from 533 to get 36.
Append the next digit (7) from the dividend to 36 and continue with: 367 / 71

On to step 6:
If we divide 367 by 71, we get 5 and a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 5075.0
The remainder is 12 after subtracting 355 from 367.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
120 divided by 71 is 1 with a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 5075.1
Deduct 71 from 120 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 8:
When dividing 490 by 71, we get 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 5075.16
If we take 426 away from 490, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 9:
71 goes into 640 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 5075.169
The remainder is 1 after subtracting 639 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
The number 71 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5075.169
Subtract 0 from 10 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.

Going ahead to step 11:
If we divide 100 by 71, we get 1 and a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 5075.16901
The remainder is 29 after subtracting 71 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 12:
71 goes into 290 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 5075.169014
If we take 284 away from 290, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
If we divide 60 by 71, we get 0 and a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 5075.169014
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 14:
71 goes into 600 8 times with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 5075.16901408
Subtracting 568 from 600 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 5075.16901408, and the remainder is 3.2e-08.