We look at the division of 37791889 by 506 
Our goal is to divide 37791889 by 506.

Let's proceed to step 1:
When dividing 3 by 506, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 506

Let's proceed to step 2:
506 can be fit into 37 0 times, resulting in a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Grab the next digit (7) from the dividend, add it to 37, then carry on: 377 / 506

Going ahead to step 3:
377 divided by 506 is 0 with a remainder of 377.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 377 after subtracting 0 from 377.
Fetch the next digit (9) from the dividend, attach it to 377 and continue: 3779 / 506

On to step 4:
3779 divided by 506 is 7 with a remainder of 237.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 237 after subtracting 3542 from 3779.
Take the next digit (1) from the dividend and append it to 237, then repeat: 2371 / 506

Advancing to step 5:
When dividing 2371 by 506, we get 4 with a remainder of 347.
Write down 4 as next digit of the result. 
Result so far: 74.0
If we take 2024 away from 2371, we end up with 347.
Append the next digit (8) from the dividend to 347 and continue with: 3478 / 506

On to step 6:
When dividing 3478 by 506, we get 6 with a remainder of 442.
Put 6 as the next digit of the answer. 
Result so far: 746.0
Deduct 3036 from 3478 and we're left with 442.
Append the next digit (8) from the dividend to 442 and continue with: 4428 / 506

Let's proceed to step 7:
When dividing 4428 by 506, we get 8 with a remainder of 380.
Record the quotient 8 as the next digit in the result. 
Result so far: 7468.0
Deduct 4048 from 4428 and we're left with 380.
Bring next digit (9) of the dividend behind the 380 and repeat the process: 3809 / 506

Moving on to step 8:
3809 divided by 506 is 7 with a remainder of 267.
The number 7 becomes the next digit in our result. 
Result so far: 74687.0
If we take 3542 away from 3809, we end up with 267.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2670, and continue the process.

Moving on to step 9:
506 goes into 2670 5 times with a remainder of 140.
Record the quotient 5 as the next digit in the result. 
Result so far: 74687.5
If we take 2530 away from 2670, we end up with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Moving on to step 10:
1400 divided by 506 is 2 with a remainder of 388.
Use 2 as the next digit of our solution. 
Result so far: 74687.52
If we take 1012 away from 1400, we end up with 388.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3880, and continue the process.

Moving on to step 11:
The number 506 fits into 3880 7 times, leaving a remainder of 338.
Use 7 as the next digit of our solution. 
Result so far: 74687.527
Subtract 3542 from 3880 to get 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Step 12:
The number 506 fits into 3380 6 times, leaving a remainder of 344.
Write down 6 as next digit of the result. 
Result so far: 74687.5276
Subtract 3036 from 3380 to get 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

On to step 13:
3440 divided by 506 is 6 with a remainder of 404.
Record the quotient 6 as the next digit in the result. 
Result so far: 74687.52766
Deduct 3036 from 3440 and we're left with 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

The quotient of the division is 74687.52766, and the remainder is 0.000404.