359395 ÷ 86 
Our goal is to divide 359395 by 86.

On to step 1:
The number 86 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 86

Advancing to step 2:
When dividing 35 by 86, we get 0 with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Bring next digit (9) of the dividend behind the 35 and repeat the process: 359 / 86

Going ahead to step 3:
The number 86 fits into 359 4 times, leaving a remainder of 15.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 344 from 359 and we're left with 15.
Take the next digit (3) from the dividend and append it to 15, then repeat: 153 / 86

Moving on to step 4:
When dividing 153 by 86, we get 1 with a remainder of 67.
Put 1 as the next digit of the answer. 
Result so far: 41.0
Subtract 86 from 153 to get 67.
Include the next digit (9) from the dividend after 67, then repeat: 679 / 86

Moving on to step 5:
86 can be fit into 679 7 times, resulting in a remainder of 77.
Record the quotient 7 as the next digit in the result. 
Result so far: 417.0
Deduct 602 from 679 and we're left with 77.
Take the next digit (5) from the dividend and append it to 77, then repeat: 775 / 86

Step 6:
775 divided by 86 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 4179.0
The remainder is 1 after subtracting 774 from 775.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
10 divided by 86 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 4179.0
Subtract 0 from 10 to 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.

Step 8:
When dividing 100 by 86, we get 1 with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 4179.01
If we subtract 86 from 100, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
86 can be fit into 140 1 times, resulting in a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 4179.011
Subtract 86 from 140 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 4179.011 with a remainder of 0.0054.