We look at the division of 302583 by 37 
We want to divide 302583 by 37.

Let's proceed to step 1:
The number 37 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
The remainder is 3 after subtracting 0 from 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 37

Advancing to step 2:
The number 37 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Fetch the next digit (2) from the dividend, attach it to 30 and continue: 302 / 37

Moving on to step 3:
37 goes into 302 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 6 after subtracting 296 from 302.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 37

Let's proceed to step 4:
If we divide 65 by 37, we get 1 and a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
Subtract 37 from 65 to get 28.
Bring next digit (8) of the dividend behind the 28 and repeat the process: 288 / 37

Moving on to step 5:
37 goes into 288 7 times with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 817.0
Subtracting 259 from 288 leaves us with 29.
Append the next digit (3) from the dividend to 29 and continue with: 293 / 37

Going ahead to step 6:
When dividing 293 by 37, we get 7 with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 8177.0
Subtracting 259 from 293 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
340 divided by 37 is 9 with a remainder of 7.
The next digit of our result is 9. 
Result so far: 8177.9
The remainder is 7 after subtracting 333 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
37 can be fit into 70 1 times, resulting in a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 8177.91
Deduct 37 from 70 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 9:
37 goes into 330 8 times with a remainder of 34.
The next digit of our result is 8. 
Result so far: 8177.918
Subtract 296 from 330 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 10:
If we divide 340 by 37, we get 9 and a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 8177.9189
Subtracting 333 from 340 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 11:
37 can be fit into 70 1 times, resulting in a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 8177.91891
Deduct 37 from 70 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 12:
37 can be fit into 330 8 times, resulting in a remainder of 34.
The next digit of our result is 8. 
Result so far: 8177.918918
Subtracting 296 from 330 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 13:
37 goes into 340 9 times with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 8177.9189189
The remainder is 7 after subtracting 333 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 14:
70 divided by 37 is 1 with a remainder of 33.
The next digit of our result is 1. 
Result so far: 8177.91891891
If we take 37 away from 70, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 8177.91891891, and the remainder is 3.3e-08.