7582 ÷ 86 
Our goal is to divide 7582 by 86.

Let's proceed to step 1:
The number 86 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 86

On to step 2:
86 goes into 75 0 times with a remainder of 75.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 75 leaves us with 75.
Fetch the next digit (8) from the dividend, attach it to 75 and continue: 758 / 86

Moving on to step 3:
When dividing 758 by 86, we get 8 with a remainder of 70.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 70 after subtracting 688 from 758.
Fetch the next digit (2) from the dividend, attach it to 70 and continue: 702 / 86

On to step 4:
702 divided by 86 is 8 with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 88.0
The remainder is 14 after subtracting 688 from 702.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 5:
When dividing 140 by 86, we get 1 with a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 88.1
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.

On to step 6:
If we divide 540 by 86, we get 6 and a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 88.16
If we take 516 away from 540, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
When dividing 240 by 86, we get 2 with a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 88.162
Subtract 172 from 240 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 8:
When dividing 680 by 86, we get 7 with a remainder of 78.
The next digit of our result is 7. 
Result so far: 88.1627
Subtracting 602 from 680 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 9:
When dividing 780 by 86, we get 9 with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 88.16279
Subtract 774 from 780 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.

On to step 10:
When dividing 60 by 86, we get 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 88.16279
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.

Step 11:
The number 86 fits into 600 6 times, leaving a remainder of 84.
Use 6 as the next digit of our solution. 
Result so far: 88.1627906
The remainder is 84 after subtracting 516 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 12:
If we divide 840 by 86, we get 9 and a remainder of 66.
Write down 9 as next digit of the result. 
Result so far: 88.16279069
If we take 774 away from 840, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The quotient of the division is 88.16279069, and the remainder is 6.6e-08.