Let's divide 876586 by 69
Our goal is to divide 876586 by 69.

Going ahead to step 1:
If we divide 8 by 69, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 69

Let's proceed to step 2:
The number 69 fits into 87 1 times, leaving a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 18 after subtracting 69 from 87.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 69

Let's proceed to step 3:
When dividing 186 by 69, we get 2 with a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 48 after subtracting 138 from 186.
Bring next digit (5) of the dividend behind the 48 and repeat the process: 485 / 69

Advancing to step 4:
69 can be fit into 485 7 times, resulting in a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 127.0
If we take 483 away from 485, we end up with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 69

Step 5:
When dividing 28 by 69, we get 0 with a remainder of 28.
The next digit of our result is 0. 
Result so far: 1270.0
Subtract 0 from 28 to get 28.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 69

On to step 6:
If we divide 286 by 69, we get 4 and a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 12704.0
Subtract 276 from 286 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.

Let's proceed to step 7:
69 can be fit into 100 1 times, resulting in a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 12704.1
If we subtract 69 from 100, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 8:
If we divide 310 by 69, we get 4 and a remainder of 34.
The next digit of our result is 4. 
Result so far: 12704.14
The remainder is 34 after subtracting 276 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 9:
69 can be fit into 340 4 times, resulting in a remainder of 64.
Put 4 as the next digit of the answer. 
Result so far: 12704.144
If we take 276 away from 340, 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.

The final result is 12704.144 with a remainder of 0.0064.