309779 ÷ 37 
Our goal is to divide 309779 by 37.

Step 1:
The number 37 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 37

Going ahead to step 2:
When dividing 30 by 37, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Grab the next digit (9) from the dividend, add it to 30, then carry on: 309 / 37

Let's proceed to step 3:
309 divided by 37 is 8 with a remainder of 13.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 296 from 309 to get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 37

Step 4:
If we divide 137 by 37, we get 3 and a remainder of 26.
The next digit of our result is 3. 
Result so far: 83.0
If we subtract 111 from 137, we get 26.
Include the next digit (7) from the dividend after 26, then repeat: 267 / 37

On to step 5:
267 divided by 37 is 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 837.0
Subtract 259 from 267 to get 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 37

Moving on to step 6:
The number 37 fits into 89 2 times, leaving a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 8372.0
The remainder is 15 after subtracting 74 from 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
37 goes into 150 4 times with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 8372.4
Subtract 148 from 150 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
20 divided by 37 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 8372.4
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
When dividing 200 by 37, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 8372.405
Subtract 185 from 200 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 10:
The number 37 fits into 150 4 times, leaving a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 8372.4054
The remainder is 2 after subtracting 148 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 11:
The number 37 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8372.4054
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
If we divide 200 by 37, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 8372.405405
Subtract 185 from 200 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 13:
If we divide 150 by 37, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 8372.4054054
If we take 148 away from 150, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
If we divide 20 by 37, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 8372.4054054
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 8372.4054054 with a remainder of 2e-08.