We look at the division of 11377585 by 306 
Our goal is to divide 11377585 by 306.

On to step 1:
The number 306 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 306

Moving on to step 2:
306 can be fit into 11 0 times, resulting in a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 306

Going ahead to step 3:
113 divided by 306 is 0 with a remainder of 113.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 113 and we're left with 113.
Append the next digit (7) from the dividend to 113 and continue with: 1137 / 306

On to step 4:
If we divide 1137 by 306, we get 3 and a remainder of 219.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 918 from 1137, we get 219.
Fetch the next digit (7) from the dividend, attach it to 219 and continue: 2197 / 306

Advancing to step 5:
When dividing 2197 by 306, we get 7 with a remainder of 55.
Put 7 as the next digit of the answer. 
Result so far: 37.0
Subtract 2142 from 2197 to get 55.
Grab the next digit (5) from the dividend, add it to 55, then carry on: 555 / 306

On to step 6:
306 can be fit into 555 1 times, resulting in a remainder of 249.
Record the quotient 1 as the next digit in the result. 
Result so far: 371.0
If we subtract 306 from 555, we get 249.
Fetch the next digit (8) from the dividend, attach it to 249 and continue: 2498 / 306

Step 7:
2498 divided by 306 is 8 with a remainder of 50.
Put 8 as the next digit of the answer. 
Result so far: 3718.0
Subtract 2448 from 2498 to get 50.
Bring next digit (5) of the dividend behind the 50 and repeat the process: 505 / 306

Advancing to step 8:
The number 306 fits into 505 1 times, leaving a remainder of 199.
Put 1 as the next digit of the answer. 
Result so far: 37181.0
If we subtract 306 from 505, we get 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Going ahead to step 9:
306 goes into 1990 6 times with a remainder of 154.
Write down 6 as next digit of the result. 
Result so far: 37181.6
Subtract 1836 from 1990 to get 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Step 10:
When dividing 1540 by 306, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 37181.65
If we subtract 1530 from 1540, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
306 goes into 100 0 times with a remainder of 100.
Use 0 as the next digit of our solution. 
Result so far: 37181.65
If we take 0 away from 100, we end up with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Let's proceed to step 12:
306 goes into 1000 3 times with a remainder of 82.
Use 3 as the next digit of our solution. 
Result so far: 37181.6503
Deduct 918 from 1000 and we're left with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 13:
306 goes into 820 2 times with a remainder of 208.
The number 2 becomes the next digit in our result. 
Result so far: 37181.65032
Subtracting 612 from 820 leaves us with 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Advancing to step 14:
306 can be fit into 2080 6 times, resulting in a remainder of 244.
Put 6 as the next digit of the answer. 
Result so far: 37181.650326
If we take 1836 away from 2080, we end up with 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Going ahead to step 15:
When dividing 2440 by 306, we get 7 with a remainder of 298.
The next digit of our result is 7. 
Result so far: 37181.6503267
If we take 2142 away from 2440, we end up with 298.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2980, and continue the process.

Let's proceed to step 16:
2980 divided by 306 is 9 with a remainder of 226.
The next digit of our result is 9. 
Result so far: 37181.65032679
Subtract 2754 from 2980 to get 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

In conclusion, the division gives 37181.65032679 with a balance of 2.26e-07.