We're dividing 37880504 by 679 
Our goal is to divide 37880504 by 679.

Step 1:
3 divided by 679 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 679

Advancing to step 2:
679 can be fit into 37 0 times, resulting in a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Fetch the next digit (8) from the dividend, attach it to 37 and continue: 378 / 679

Step 3:
679 can be fit into 378 0 times, resulting in a remainder of 378.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 378 leaves us with 378.
Bring next digit (8) of the dividend behind the 378 and repeat the process: 3788 / 679

Let's proceed to step 4:
If we divide 3788 by 679, we get 5 and a remainder of 393.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 3395 from 3788 leaves us with 393.
Fetch the next digit (0) from the dividend, attach it to 393 and continue: 3930 / 679

On to step 5:
If we divide 3930 by 679, we get 5 and a remainder of 535.
Write down 5 as next digit of the result. 
Result so far: 55.0
Subtracting 3395 from 3930 leaves us with 535.
Append the next digit (5) from the dividend to 535 and continue with: 5355 / 679

Step 6:
When dividing 5355 by 679, we get 7 with a remainder of 602.
Record the quotient 7 as the next digit in the result. 
Result so far: 557.0
Subtracting 4753 from 5355 leaves us with 602.
Fetch the next digit (0) from the dividend, attach it to 602 and continue: 6020 / 679

Let's proceed to step 7:
When dividing 6020 by 679, we get 8 with a remainder of 588.
Write down 8 as next digit of the result. 
Result so far: 5578.0
If we subtract 5432 from 6020, we get 588.
Append the next digit (4) from the dividend to 588 and continue with: 5884 / 679

Moving on to step 8:
679 can be fit into 5884 8 times, resulting in a remainder of 452.
Use 8 as the next digit of our solution. 
Result so far: 55788.0
Subtracting 5432 from 5884 leaves us with 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

Moving on to step 9:
If we divide 4520 by 679, we get 6 and a remainder of 446.
The next digit of our result is 6. 
Result so far: 55788.6
If we subtract 4074 from 4520, we get 446.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4460, and continue the process.

On to step 10:
When dividing 4460 by 679, we get 6 with a remainder of 386.
Use 6 as the next digit of our solution. 
Result so far: 55788.66
Deduct 4074 from 4460 and we're left with 386.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3860, and continue the process.

The final outcome is 55788.66, with a leftover of 0.386.