We look at the division of 553440 by 78 
Our goal is to divide 553440 by 78.

Let's proceed to step 1:
78 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 78

Let's proceed to step 2:
The number 78 fits into 55 0 times, leaving a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Take the next digit (3) from the dividend and append it to 55, then repeat: 553 / 78

Advancing to step 3:
78 can be fit into 553 7 times, resulting in a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 546 from 553 to get 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 78

Moving on to step 4:
74 divided by 78 is 0 with a remainder of 74.
The next digit of our result is 0. 
Result so far: 70.0
If we take 0 away from 74, we end up with 74.
Append the next digit (4) from the dividend to 74 and continue with: 744 / 78

Going ahead to step 5:
78 can be fit into 744 9 times, resulting in a remainder of 42.
Write down 9 as next digit of the result. 
Result so far: 709.0
The remainder is 42 after subtracting 702 from 744.
Bring next digit (0) of the dividend behind the 42 and repeat the process: 420 / 78

Step 6:
When dividing 420 by 78, we get 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 7095.0
Subtract 390 from 420 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
300 divided by 78 is 3 with a remainder of 66.
Write down 3 as next digit of the result. 
Result so far: 7095.3
If we take 234 away from 300, we end up 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.

Let's proceed to step 8:
The number 78 fits into 660 8 times, leaving a remainder of 36.
The next digit of our result is 8. 
Result so far: 7095.38
Deduct 624 from 660 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
When dividing 360 by 78, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 7095.384
If we take 312 away from 360, we end up 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.

Moving on to step 10:
If we divide 480 by 78, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 7095.3846
Subtracting 468 from 480 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
If we divide 120 by 78, we get 1 and a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 7095.38461
Subtracting 78 from 120 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 12:
When dividing 420 by 78, we get 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 7095.384615
The remainder is 30 after subtracting 390 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 13:
When dividing 300 by 78, we get 3 with a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 7095.3846153
Deduct 234 from 300 and we're left 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.

Advancing to step 14:
78 goes into 660 8 times with a remainder of 36.
The next digit of our result is 8. 
Result so far: 7095.38461538
If we take 624 away from 660, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final result is 7095.38461538 with a remainder of 3.6e-08.