37670662 ÷ 871 
Our goal is to divide 37670662 by 871.

Advancing to step 1:
3 divided by 871 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 871

Going ahead to step 2:
When dividing 37 by 871, we get 0 with a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Append the next digit (6) from the dividend to 37 and continue with: 376 / 871

Moving on to step 3:
When dividing 376 by 871, we get 0 with a remainder of 376.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 376 after subtracting 0 from 376.
Fetch the next digit (7) from the dividend, attach it to 376 and continue: 3767 / 871

On to step 4:
871 goes into 3767 4 times with a remainder of 283.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 3484 away from 3767, we end up with 283.
Bring next digit (0) of the dividend behind the 283 and repeat the process: 2830 / 871

Moving on to step 5:
2830 divided by 871 is 3 with a remainder of 217.
The next digit of our result is 3. 
Result so far: 43.0
If we take 2613 away from 2830, we end up with 217.
Take the next digit (6) from the dividend and append it to 217, then repeat: 2176 / 871

Moving on to step 6:
871 goes into 2176 2 times with a remainder of 434.
Write down 2 as next digit of the result. 
Result so far: 432.0
If we take 1742 away from 2176, we end up with 434.
Fetch the next digit (6) from the dividend, attach it to 434 and continue: 4346 / 871

Advancing to step 7:
871 can be fit into 4346 4 times, resulting in a remainder of 862.
The next digit of our result is 4. 
Result so far: 4324.0
Subtract 3484 from 4346 to get 862.
Include the next digit (2) from the dividend after 862, then repeat: 8622 / 871

Moving on to step 8:
8622 divided by 871 is 9 with a remainder of 783.
The next digit of our result is 9. 
Result so far: 43249.0
Deduct 7839 from 8622 and we're left with 783.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7830, and continue the process.

Let's proceed to step 9:
871 goes into 7830 8 times with a remainder of 862.
Put 8 as the next digit of the answer. 
Result so far: 43249.8
If we subtract 6968 from 7830, we get 862.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8620, and continue the process.

Going ahead to step 10:
If we divide 8620 by 871, we get 9 and a remainder of 781.
Write down 9 as next digit of the result. 
Result so far: 43249.89
Deduct 7839 from 8620 and we're left with 781.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7810, and continue the process.

Moving on to step 11:
7810 divided by 871 is 8 with a remainder of 842.
The number 8 becomes the next digit in our result. 
Result so far: 43249.898
Subtracting 6968 from 7810 leaves us with 842.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8420, and continue the process.

Let's proceed to step 12:
If we divide 8420 by 871, we get 9 and a remainder of 581.
The next digit of our result is 9. 
Result so far: 43249.8989
The remainder is 581 after subtracting 7839 from 8420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5810, and continue the process.

Step 13:
The number 871 fits into 5810 6 times, leaving a remainder of 584.
Use 6 as the next digit of our solution. 
Result so far: 43249.89896
Deduct 5226 from 5810 and we're left with 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Step 14:
The number 871 fits into 5840 6 times, leaving a remainder of 614.
Use 6 as the next digit of our solution. 
Result so far: 43249.898966
The remainder is 614 after subtracting 5226 from 5840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6140, and continue the process.

In conclusion, the division gives 43249.898966 with a balance of 6.14e-05.