We look at the division of 35815408 by 306 
We're looking to find how many times 306 goes into 35815408.

Going ahead to step 1:
If we divide 3 by 306, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 306

Moving on to step 2:
35 divided by 306 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Grab the next digit (8) from the dividend, add it to 35, then carry on: 358 / 306

Let's proceed to step 3:
358 divided by 306 is 1 with a remainder of 52.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 306 from 358 and we're left with 52.
Take the next digit (1) from the dividend and append it to 52, then repeat: 521 / 306

Moving on to step 4:
If we divide 521 by 306, we get 1 and a remainder of 215.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 306 away from 521, we end up with 215.
Take the next digit (5) from the dividend and append it to 215, then repeat: 2155 / 306

Let's proceed to step 5:
306 can be fit into 2155 7 times, resulting in a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 117.0
If we subtract 2142 from 2155, we get 13.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 306

Let's proceed to step 6:
When dividing 134 by 306, we get 0 with a remainder of 134.
Use 0 as the next digit of our solution. 
Result so far: 1170.0
If we subtract 0 from 134, we get 134.
Fetch the next digit (0) from the dividend, attach it to 134 and continue: 1340 / 306

Step 7:
If we divide 1340 by 306, we get 4 and a remainder of 116.
Write down 4 as next digit of the result. 
Result so far: 11704.0
If we subtract 1224 from 1340, we get 116.
Bring next digit (8) of the dividend behind the 116 and repeat the process: 1168 / 306

On to step 8:
1168 divided by 306 is 3 with a remainder of 250.
The number 3 becomes the next digit in our result. 
Result so far: 117043.0
Deduct 918 from 1168 and we're left with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Let's proceed to step 9:
2500 divided by 306 is 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 117043.8
Deduct 2448 from 2500 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 10:
When dividing 520 by 306, we get 1 with a remainder of 214.
The next digit of our result is 1. 
Result so far: 117043.81
The remainder is 214 after subtracting 306 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

On to step 11:
When dividing 2140 by 306, we get 6 with a remainder of 304.
The number 6 becomes the next digit in our result. 
Result so far: 117043.816
Subtract 1836 from 2140 to get 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Step 12:
The number 306 fits into 3040 9 times, leaving a remainder of 286.
Put 9 as the next digit of the answer. 
Result so far: 117043.8169
Deduct 2754 from 3040 and we're left with 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

Moving on to step 13:
2860 divided by 306 is 9 with a remainder of 106.
Record the quotient 9 as the next digit in the result. 
Result so far: 117043.81699
Subtract 2754 from 2860 to get 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

The final result is 117043.81699 with a remainder of 0.000106.