We're dividing 7648516 by 278 
Our goal is to divide 7648516 by 278.

Step 1:
7 divided by 278 is 0 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.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 278

Let's proceed to step 2:
278 goes into 76 0 times with a remainder of 76.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 76, we end up with 76.
Take the next digit (4) from the dividend and append it to 76, then repeat: 764 / 278

Let's proceed to step 3:
278 goes into 764 2 times with a remainder of 208.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 556 from 764 leaves us with 208.
Take the next digit (8) from the dividend and append it to 208, then repeat: 2088 / 278

Going ahead to step 4:
When dividing 2088 by 278, we get 7 with a remainder of 142.
Use 7 as the next digit of our solution. 
Result so far: 27.0
The remainder is 142 after subtracting 1946 from 2088.
Fetch the next digit (5) from the dividend, attach it to 142 and continue: 1425 / 278

Step 5:
278 can be fit into 1425 5 times, resulting in a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 275.0
If we take 1390 away from 1425, we end up with 35.
Take the next digit (1) from the dividend and append it to 35, then repeat: 351 / 278

Step 6:
278 can be fit into 351 1 times, resulting in a remainder of 73.
The number 1 becomes the next digit in our result. 
Result so far: 2751.0
Subtracting 278 from 351 leaves us with 73.
Include the next digit (6) from the dividend after 73, then repeat: 736 / 278

Advancing to step 7:
If we divide 736 by 278, we get 2 and a remainder of 180.
The number 2 becomes the next digit in our result. 
Result so far: 27512.0
If we take 556 away from 736, we end up with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Step 8:
1800 divided by 278 is 6 with a remainder of 132.
The next digit of our result is 6. 
Result so far: 27512.6
Subtracting 1668 from 1800 leaves us with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Moving on to step 9:
If we divide 1320 by 278, we get 4 and a remainder of 208.
Record the quotient 4 as the next digit in the result. 
Result so far: 27512.64
Subtract 1112 from 1320 to get 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Advancing to step 10:
278 can be fit into 2080 7 times, resulting in a remainder of 134.
Write down 7 as next digit of the result. 
Result so far: 27512.647
Subtract 1946 from 2080 to get 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

On to step 11:
1340 divided by 278 is 4 with a remainder of 228.
The next digit of our result is 4. 
Result so far: 27512.6474
If we subtract 1112 from 1340, we get 228.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

Step 12:
If we divide 2280 by 278, we get 8 and a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 27512.64748
Subtract 2224 from 2280 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 13:
The number 278 fits into 560 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 27512.647482
The remainder is 4 after subtracting 556 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
If we divide 40 by 278, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 27512.647482
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 15:
When dividing 400 by 278, we get 1 with a remainder of 122.
Use 1 as the next digit of our solution. 
Result so far: 27512.64748201
Subtract 278 from 400 to get 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

The final result is 27512.64748201 with a remainder of 1.22e-07.