We look at the division of 1566678 by 138 
Let's see how many times 138 fits into 1566678.

Going ahead to step 1:
138 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 138

Let's proceed to step 2:
138 goes into 15 0 times with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Append the next digit (6) from the dividend to 15 and continue with: 156 / 138

On to step 3:
138 can be fit into 156 1 times, resulting in a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 138 from 156 leaves us with 18.
Bring next digit (6) of the dividend behind the 18 and repeat the process: 186 / 138

Moving on to step 4:
138 goes into 186 1 times with a remainder of 48.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 138 from 186 leaves us with 48.
Bring next digit (6) of the dividend behind the 48 and repeat the process: 486 / 138

Step 5:
If we divide 486 by 138, we get 3 and a remainder of 72.
The number 3 becomes the next digit in our result. 
Result so far: 113.0
If we subtract 414 from 486, we get 72.
Grab the next digit (7) from the dividend, add it to 72, then carry on: 727 / 138

Advancing to step 6:
138 goes into 727 5 times with a remainder of 37.
Write down 5 as next digit of the result. 
Result so far: 1135.0
If we subtract 690 from 727, we get 37.
Append the next digit (8) from the dividend to 37 and continue with: 378 / 138

On to step 7:
378 divided by 138 is 2 with a remainder of 102.
Write down 2 as next digit of the result. 
Result so far: 11352.0
The remainder is 102 after subtracting 276 from 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Step 8:
138 can be fit into 1020 7 times, resulting in a remainder of 54.
Use 7 as the next digit of our solution. 
Result so far: 11352.7
If we subtract 966 from 1020, we 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.

Step 9:
138 goes into 540 3 times with a remainder of 126.
Write down 3 as next digit of the result. 
Result so far: 11352.73
Deduct 414 from 540 and we're left with 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Going ahead to step 10:
1260 divided by 138 is 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 11352.739
Subtract 1242 from 1260 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 11:
The number 138 fits into 180 1 times, leaving a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 11352.7391
If we subtract 138 from 180, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 12:
138 can be fit into 420 3 times, resulting in a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 11352.73913
If we take 414 away from 420, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
138 goes into 60 0 times with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 11352.73913
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 14:
The number 138 fits into 600 4 times, leaving a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 11352.7391304
Deduct 552 from 600 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 15:
480 divided by 138 is 3 with a remainder of 66.
The next digit of our result is 3. 
Result so far: 11352.73913043
Subtracting 414 from 480 leaves us 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.

In conclusion, the division gives 11352.73913043 with a balance of 6.6e-08.