37171 divided by 78 
Let's see how many times 78 fits into 37171.

On to step 1:
When dividing 3 by 78, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 78

Let's proceed to step 2:
37 divided by 78 is 0 with a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Fetch the next digit (1) from the dividend, attach it to 37 and continue: 371 / 78

Moving on to step 3:
78 goes into 371 4 times with a remainder of 59.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 312 from 371 to get 59.
Take the next digit (7) from the dividend and append it to 59, then repeat: 597 / 78

Let's proceed to step 4:
When dividing 597 by 78, we get 7 with a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 47.0
If we subtract 546 from 597, we get 51.
Fetch the next digit (1) from the dividend, attach it to 51 and continue: 511 / 78

Step 5:
78 goes into 511 6 times with a remainder of 43.
Write down 6 as next digit of the result. 
Result so far: 476.0
The remainder is 43 after subtracting 468 from 511.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 6:
78 goes into 430 5 times with a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 476.5
Subtracting 390 from 430 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
78 goes into 400 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 476.55
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 476.55 with a remainder of 0.01.