We look at the division of 7678965 by 554 
We want to divide 7678965 by 554.

Advancing to step 1:
554 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 554

On to step 2:
When dividing 76 by 554, we get 0 with a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 76 to get 76.
Take the next digit (7) from the dividend and append it to 76, then repeat: 767 / 554

Let's proceed to step 3:
554 can be fit into 767 1 times, resulting in a remainder of 213.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 554 away from 767, we end up with 213.
Fetch the next digit (8) from the dividend, attach it to 213 and continue: 2138 / 554

Step 4:
554 goes into 2138 3 times with a remainder of 476.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 1662 away from 2138, we end up with 476.
Fetch the next digit (9) from the dividend, attach it to 476 and continue: 4769 / 554

Moving on to step 5:
The number 554 fits into 4769 8 times, leaving a remainder of 337.
Put 8 as the next digit of the answer. 
Result so far: 138.0
The remainder is 337 after subtracting 4432 from 4769.
Include the next digit (6) from the dividend after 337, then repeat: 3376 / 554

Let's proceed to step 6:
The number 554 fits into 3376 6 times, leaving a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 1386.0
If we take 3324 away from 3376, we end up with 52.
Fetch the next digit (5) from the dividend, attach it to 52 and continue: 525 / 554

Advancing to step 7:
If we divide 525 by 554, we get 0 and a remainder of 525.
Record the quotient 0 as the next digit in the result. 
Result so far: 13860.0
If we take 0 away from 525, we end up with 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

On to step 8:
554 can be fit into 5250 9 times, resulting in a remainder of 264.
Use 9 as the next digit of our solution. 
Result so far: 13860.9
If we take 4986 away from 5250, we end up with 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Advancing to step 9:
The number 554 fits into 2640 4 times, leaving a remainder of 424.
Use 4 as the next digit of our solution. 
Result so far: 13860.94
Subtract 2216 from 2640 to get 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

Going ahead to step 10:
The number 554 fits into 4240 7 times, leaving a remainder of 362.
Use 7 as the next digit of our solution. 
Result so far: 13860.947
The remainder is 362 after subtracting 3878 from 4240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3620, and continue the process.

Step 11:
3620 divided by 554 is 6 with a remainder of 296.
Put 6 as the next digit of the answer. 
Result so far: 13860.9476
If we subtract 3324 from 3620, we get 296.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2960, and continue the process.

Advancing to step 12:
The number 554 fits into 2960 5 times, leaving a remainder of 190.
Record the quotient 5 as the next digit in the result. 
Result so far: 13860.94765
Subtracting 2770 from 2960 leaves us with 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Let's proceed to step 13:
1900 divided by 554 is 3 with a remainder of 238.
Write down 3 as next digit of the result. 
Result so far: 13860.947653
Subtracting 1662 from 1900 leaves us with 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

Advancing to step 14:
When dividing 2380 by 554, we get 4 with a remainder of 164.
Record the quotient 4 as the next digit in the result. 
Result so far: 13860.9476534
If we subtract 2216 from 2380, we get 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

On to step 15:
The number 554 fits into 1640 2 times, leaving a remainder of 532.
The number 2 becomes the next digit in our result. 
Result so far: 13860.94765342
If we subtract 1108 from 1640, we get 532.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

The quotient of the division is 13860.94765342, and the remainder is 5.32e-07.