41086778 ÷ 360 
The aim is to understand the frequency of 360 in 41086778.

Moving on to step 1:
4 divided by 360 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 360

Let's proceed to step 2:
360 goes into 41 0 times with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Take the next digit (0) from the dividend and append it to 41, then repeat: 410 / 360

Let's proceed to step 3:
410 divided by 360 is 1 with a remainder of 50.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 360 from 410 leaves us with 50.
Take the next digit (8) from the dividend and append it to 50, then repeat: 508 / 360

Step 4:
360 goes into 508 1 times with a remainder of 148.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 148 after subtracting 360 from 508.
Grab the next digit (6) from the dividend, add it to 148, then carry on: 1486 / 360

Advancing to step 5:
360 can be fit into 1486 4 times, resulting in a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 114.0
The remainder is 46 after subtracting 1440 from 1486.
Append the next digit (7) from the dividend to 46 and continue with: 467 / 360

Going ahead to step 6:
The number 360 fits into 467 1 times, leaving a remainder of 107.
The next digit of our result is 1. 
Result so far: 1141.0
Deduct 360 from 467 and we're left with 107.
Take the next digit (7) from the dividend and append it to 107, then repeat: 1077 / 360

Let's proceed to step 7:
When dividing 1077 by 360, we get 2 with a remainder of 357.
The number 2 becomes the next digit in our result. 
Result so far: 11412.0
If we take 720 away from 1077, we end up with 357.
Fetch the next digit (8) from the dividend, attach it to 357 and continue: 3578 / 360

Moving on to step 8:
If we divide 3578 by 360, we get 9 and a remainder of 338.
The number 9 becomes the next digit in our result. 
Result so far: 114129.0
Subtract 3240 from 3578 to get 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

On to step 9:
360 can be fit into 3380 9 times, resulting in a remainder of 140.
Put 9 as the next digit of the answer. 
Result so far: 114129.9
If we take 3240 away from 3380, we end up with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Step 10:
When dividing 1400 by 360, we get 3 with a remainder of 320.
The number 3 becomes the next digit in our result. 
Result so far: 114129.93
If we take 1080 away from 1400, we end up with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Moving on to step 11:
If we divide 3200 by 360, we get 8 and a remainder of 320.
Write down 8 as next digit of the result. 
Result so far: 114129.938
Deduct 2880 from 3200 and we're left with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

On to step 12:
If we divide 3200 by 360, we get 8 and a remainder of 320.
The next digit of our result is 8. 
Result so far: 114129.9388
Deduct 2880 from 3200 and we're left with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Our division results in 114129.9388 with a remaining 0.0032.