We look at the division of 6738089 by 978 
We want to divide 6738089 by 978.

Step 1:
If we divide 6 by 978, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 978

Advancing to step 2:
If we divide 67 by 978, we get 0 and a remainder of 67.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 67 to get 67.
Bring next digit (3) of the dividend behind the 67 and repeat the process: 673 / 978

Step 3:
978 can be fit into 673 0 times, resulting in a remainder of 673.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 673, we get 673.
Grab the next digit (8) from the dividend, add it to 673, then carry on: 6738 / 978

Step 4:
978 goes into 6738 6 times with a remainder of 870.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 870 after subtracting 5868 from 6738.
Fetch the next digit (0) from the dividend, attach it to 870 and continue: 8700 / 978

Advancing to step 5:
978 goes into 8700 8 times with a remainder of 876.
Write down 8 as next digit of the result. 
Result so far: 68.0
Deduct 7824 from 8700 and we're left with 876.
Fetch the next digit (8) from the dividend, attach it to 876 and continue: 8768 / 978

Moving on to step 6:
If we divide 8768 by 978, we get 8 and a remainder of 944.
Record the quotient 8 as the next digit in the result. 
Result so far: 688.0
If we take 7824 away from 8768, we end up with 944.
Include the next digit (9) from the dividend after 944, then repeat: 9449 / 978

Going ahead to step 7:
The number 978 fits into 9449 9 times, leaving a remainder of 647.
Record the quotient 9 as the next digit in the result. 
Result so far: 6889.0
Subtract 8802 from 9449 to get 647.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6470, and continue the process.

Going ahead to step 8:
If we divide 6470 by 978, we get 6 and a remainder of 602.
Write down 6 as next digit of the result. 
Result so far: 6889.6
If we take 5868 away from 6470, we end up with 602.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6020, and continue the process.

Going ahead to step 9:
If we divide 6020 by 978, we get 6 and a remainder of 152.
Use 6 as the next digit of our solution. 
Result so far: 6889.66
Subtracting 5868 from 6020 leaves us with 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

The final outcome is 6889.66, with a leftover of 0.152.