We're dividing 553330 by 86 
Our goal is to divide 553330 by 86.

Let's proceed to step 1:
86 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 86

Step 2:
55 divided by 86 is 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Grab the next digit (3) from the dividend, add it to 55, then carry on: 553 / 86

Going ahead to step 3:
553 divided by 86 is 6 with a remainder of 37.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 516 from 553 and we're left with 37.
Bring next digit (3) of the dividend behind the 37 and repeat the process: 373 / 86

On to step 4:
The number 86 fits into 373 4 times, leaving a remainder of 29.
The next digit of our result is 4. 
Result so far: 64.0
The remainder is 29 after subtracting 344 from 373.
Grab the next digit (3) from the dividend, add it to 29, then carry on: 293 / 86

Moving on to step 5:
If we divide 293 by 86, we get 3 and a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 643.0
Deduct 258 from 293 and we're left with 35.
Bring next digit (0) of the dividend behind the 35 and repeat the process: 350 / 86

Advancing to step 6:
If we divide 350 by 86, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 6434.0
Subtract 344 from 350 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
When dividing 60 by 86, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 6434.0
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 8:
The number 86 fits into 600 6 times, leaving a remainder of 84.
Put 6 as the next digit of the answer. 
Result so far: 6434.06
Subtracting 516 from 600 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 9:
When dividing 840 by 86, we get 9 with a remainder of 66.
The number 9 becomes the next digit in our result. 
Result so far: 6434.069
If we subtract 774 from 840, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 10:
The number 86 fits into 660 7 times, leaving a remainder of 58.
Use 7 as the next digit of our solution. 
Result so far: 6434.0697
Deduct 602 from 660 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 11:
580 divided by 86 is 6 with a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 6434.06976
If we subtract 516 from 580, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 12:
When dividing 640 by 86, we get 7 with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 6434.069767
Subtracting 602 from 640 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 13:
The number 86 fits into 380 4 times, leaving a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 6434.0697674
Deduct 344 from 380 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 14:
The number 86 fits into 360 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 6434.06976744
Subtract 344 from 360 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 6434.06976744 with a remaining 1.6e-08.