586967 divided by 86 
Our goal is to divide 586967 by 86.

On to step 1:
When dividing 5 by 86, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 86

On to step 2:
86 can be fit into 58 0 times, resulting in a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Append the next digit (6) from the dividend to 58 and continue with: 586 / 86

Advancing to step 3:
If we divide 586 by 86, we get 6 and a remainder of 70.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 70 after subtracting 516 from 586.
Fetch the next digit (9) from the dividend, attach it to 70 and continue: 709 / 86

Let's proceed to step 4:
When dividing 709 by 86, we get 8 with a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 68.0
Deduct 688 from 709 and we're left with 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 86

Moving on to step 5:
216 divided by 86 is 2 with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 682.0
Deduct 172 from 216 and we're left with 44.
Grab the next digit (7) from the dividend, add it to 44, then carry on: 447 / 86

Step 6:
86 can be fit into 447 5 times, resulting in a remainder of 17.
The next digit of our result is 5. 
Result so far: 6825.0
If we subtract 430 from 447, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
86 goes into 170 1 times with a remainder of 84.
The next digit of our result is 1. 
Result so far: 6825.1
Subtract 86 from 170 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 8:
840 divided by 86 is 9 with a remainder of 66.
Record the quotient 9 as the next digit in the result. 
Result so far: 6825.19
The remainder is 66 after subtracting 774 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 9:
If we divide 660 by 86, we get 7 and a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 6825.197
If we subtract 602 from 660, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 10:
580 divided by 86 is 6 with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 6825.1976
If we take 516 away from 580, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 11:
If we divide 640 by 86, we get 7 and a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 6825.19767
If we subtract 602 from 640, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 12:
86 goes into 380 4 times with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 6825.197674
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.

Advancing to step 13:
When dividing 360 by 86, we get 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 6825.1976744
If we subtract 344 from 360, we 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.

After the division, we end up with 6825.1976744 and a remainder of 1.6e-07.