We look at the division of 37344794 by 555 
We're looking to find how many times 555 goes into 37344794.

On to step 1:
If we divide 3 by 555, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 555

Going ahead to step 2:
555 can be fit into 37 0 times, resulting in a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Append the next digit (3) from the dividend to 37 and continue with: 373 / 555

Step 3:
If we divide 373 by 555, we get 0 and a remainder of 373.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 373 after subtracting 0 from 373.
Include the next digit (4) from the dividend after 373, then repeat: 3734 / 555

Step 4:
3734 divided by 555 is 6 with a remainder of 404.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 3330 from 3734 to get 404.
Take the next digit (4) from the dividend and append it to 404, then repeat: 4044 / 555

Moving on to step 5:
555 goes into 4044 7 times with a remainder of 159.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
If we take 3885 away from 4044, we end up with 159.
Fetch the next digit (7) from the dividend, attach it to 159 and continue: 1597 / 555

Moving on to step 6:
1597 divided by 555 is 2 with a remainder of 487.
Use 2 as the next digit of our solution. 
Result so far: 672.0
Subtracting 1110 from 1597 leaves us with 487.
Append the next digit (9) from the dividend to 487 and continue with: 4879 / 555

Step 7:
The number 555 fits into 4879 8 times, leaving a remainder of 439.
Use 8 as the next digit of our solution. 
Result so far: 6728.0
Deduct 4440 from 4879 and we're left with 439.
Append the next digit (4) from the dividend to 439 and continue with: 4394 / 555

Step 8:
4394 divided by 555 is 7 with a remainder of 509.
Put 7 as the next digit of the answer. 
Result so far: 67287.0
Subtracting 3885 from 4394 leaves us with 509.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5090, and continue the process.

Step 9:
555 goes into 5090 9 times with a remainder of 95.
Record the quotient 9 as the next digit in the result. 
Result so far: 67287.9
If we take 4995 away from 5090, we end up with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Let's proceed to step 10:
When dividing 950 by 555, we get 1 with a remainder of 395.
The number 1 becomes the next digit in our result. 
Result so far: 67287.91
If we take 555 away from 950, we end up with 395.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

Step 11:
When dividing 3950 by 555, we get 7 with a remainder of 65.
Put 7 as the next digit of the answer. 
Result so far: 67287.917
Subtract 3885 from 3950 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 12:
555 can be fit into 650 1 times, resulting in a remainder of 95.
Put 1 as the next digit of the answer. 
Result so far: 67287.9171
The remainder is 95 after subtracting 555 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Advancing to step 13:
When dividing 950 by 555, we get 1 with a remainder of 395.
Put 1 as the next digit of the answer. 
Result so far: 67287.91711
The remainder is 395 after subtracting 555 from 950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

After the division, we end up with 67287.91711 and a remainder of 0.000395.