553217 ÷ 86 
We want to divide 553217 by 86.

On to step 1:
The number 86 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 86

Advancing to step 2:
86 can be fit into 55 0 times, resulting in a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Take the next digit (3) from the dividend and append it to 55, then repeat: 553 / 86

Moving on to step 3:
86 goes into 553 6 times with a remainder of 37.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 516 from 553 leaves us with 37.
Include the next digit (2) from the dividend after 37, then repeat: 372 / 86

Step 4:
86 goes into 372 4 times with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
If we take 344 away from 372, we end up with 28.
Append the next digit (1) from the dividend to 28 and continue with: 281 / 86

Step 5:
281 divided by 86 is 3 with a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 643.0
Deduct 258 from 281 and we're left with 23.
Append the next digit (7) from the dividend to 23 and continue with: 237 / 86

On to step 6:
237 divided by 86 is 2 with a remainder of 65.
The next digit of our result is 2. 
Result so far: 6432.0
If we subtract 172 from 237, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 7:
If we divide 650 by 86, we get 7 and a remainder of 48.
Put 7 as the next digit of the answer. 
Result so far: 6432.7
If we take 602 away from 650, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
When dividing 480 by 86, we get 5 with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 6432.75
If we take 430 away from 480, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
If we divide 500 by 86, we get 5 and a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 6432.755
Subtract 430 from 500 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The quotient of the division is 6432.755, and the remainder is 0.007.