We look at the division of 37919 by 83 
We want to divide 37919 by 83.

Moving on to step 1:
The number 83 fits into 3 0 times, leaving 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.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 83

Going ahead to step 2:
37 divided by 83 is 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Grab the next digit (9) from the dividend, add it to 37, then carry on: 379 / 83

Let's proceed to step 3:
83 goes into 379 4 times with a remainder of 47.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 332 from 379 and we're left with 47.
Include the next digit (1) from the dividend after 47, then repeat: 471 / 83

Going ahead to step 4:
83 can be fit into 471 5 times, resulting in a remainder of 56.
Write down 5 as next digit of the result. 
Result so far: 45.0
Subtracting 415 from 471 leaves us with 56.
Take the next digit (9) from the dividend and append it to 56, then repeat: 569 / 83

Advancing to step 5:
83 goes into 569 6 times with a remainder of 71.
Record the quotient 6 as the next digit in the result. 
Result so far: 456.0
If we subtract 498 from 569, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 6:
710 divided by 83 is 8 with a remainder of 46.
Put 8 as the next digit of the answer. 
Result so far: 456.8
If we subtract 664 from 710, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 7:
460 divided by 83 is 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 456.85
Subtract 415 from 460 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 8:
When dividing 450 by 83, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 456.855
The remainder is 35 after subtracting 415 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 456.855, and the remainder is 0.0035.