We're dividing 1566566 by 672 
We want to figure out the number of times 1566566 can be divided by 672.

Step 1:
When dividing 1 by 672, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 672

Let's proceed to step 2:
15 divided by 672 is 0 with a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 672

Advancing to step 3:
672 goes into 156 0 times with a remainder of 156.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 156 leaves us with 156.
Bring next digit (6) of the dividend behind the 156 and repeat the process: 1566 / 672

Step 4:
The number 672 fits into 1566 2 times, leaving a remainder of 222.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 1344 from 1566 and we're left with 222.
Append the next digit (5) from the dividend to 222 and continue with: 2225 / 672

Let's proceed to step 5:
2225 divided by 672 is 3 with a remainder of 209.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Subtract 2016 from 2225 to get 209.
Fetch the next digit (6) from the dividend, attach it to 209 and continue: 2096 / 672

Advancing to step 6:
672 goes into 2096 3 times with a remainder of 80.
Put 3 as the next digit of the answer. 
Result so far: 233.0
If we subtract 2016 from 2096, we get 80.
Fetch the next digit (6) from the dividend, attach it to 80 and continue: 806 / 672

On to step 7:
672 goes into 806 1 times with a remainder of 134.
Record the quotient 1 as the next digit in the result. 
Result so far: 2331.0
The remainder is 134 after subtracting 672 from 806.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

Step 8:
When dividing 1340 by 672, we get 1 with a remainder of 668.
Write down 1 as next digit of the result. 
Result so far: 2331.1
Subtract 672 from 1340 to get 668.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6680, and continue the process.

Moving on to step 9:
If we divide 6680 by 672, we get 9 and a remainder of 632.
Put 9 as the next digit of the answer. 
Result so far: 2331.19
Subtracting 6048 from 6680 leaves us with 632.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6320, and continue the process.

Advancing to step 10:
The number 672 fits into 6320 9 times, leaving a remainder of 272.
Put 9 as the next digit of the answer. 
Result so far: 2331.199
Subtract 6048 from 6320 to get 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

The final outcome is 2331.199, with a leftover of 0.0272.