We look at the division of 213568 by 69 
We're looking to find how many times 69 goes into 213568.

Step 1:
The number 69 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 69

Let's proceed to step 2:
When dividing 21 by 69, we get 0 with a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Take the next digit (3) from the dividend and append it to 21, then repeat: 213 / 69

Step 3:
69 can be fit into 213 3 times, resulting in a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 207 from 213, we get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 69

Advancing to step 4:
When dividing 65 by 69, we get 0 with a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 30.0
Subtracting 0 from 65 leaves us with 65.
Append the next digit (6) from the dividend to 65 and continue with: 656 / 69

Advancing to step 5:
The number 69 fits into 656 9 times, leaving a remainder of 35.
Write down 9 as next digit of the result. 
Result so far: 309.0
The remainder is 35 after subtracting 621 from 656.
Append the next digit (8) from the dividend to 35 and continue with: 358 / 69

Advancing to step 6:
69 can be fit into 358 5 times, resulting in a remainder of 13.
The next digit of our result is 5. 
Result so far: 3095.0
Subtracting 345 from 358 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
When dividing 130 by 69, we get 1 with a remainder of 61.
Use 1 as the next digit of our solution. 
Result so far: 3095.1
If we take 69 away from 130, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 8:
If we divide 610 by 69, we get 8 and a remainder of 58.
Write down 8 as next digit of the result. 
Result so far: 3095.18
Subtract 552 from 610 to 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.

On to step 9:
If we divide 580 by 69, we get 8 and a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 3095.188
If we take 552 away from 580, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 3095.188, and the remainder is 0.0028.