We're dividing 4379631 by 651 
Our goal is to divide 4379631 by 651.

Advancing to step 1:
If we divide 4 by 651, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 651

Going ahead to step 2:
When dividing 43 by 651, we get 0 with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Fetch the next digit (7) from the dividend, attach it to 43 and continue: 437 / 651

Going ahead to step 3:
651 can be fit into 437 0 times, resulting in a remainder of 437.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 437 leaves us with 437.
Append the next digit (9) from the dividend to 437 and continue with: 4379 / 651

Advancing to step 4:
4379 divided by 651 is 6 with a remainder of 473.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 3906 away from 4379, we end up with 473.
Include the next digit (6) from the dividend after 473, then repeat: 4736 / 651

Advancing to step 5:
When dividing 4736 by 651, we get 7 with a remainder of 179.
The next digit of our result is 7. 
Result so far: 67.0
Subtracting 4557 from 4736 leaves us with 179.
Grab the next digit (3) from the dividend, add it to 179, then carry on: 1793 / 651

Going ahead to step 6:
1793 divided by 651 is 2 with a remainder of 491.
Record the quotient 2 as the next digit in the result. 
Result so far: 672.0
If we take 1302 away from 1793, we end up with 491.
Append the next digit (1) from the dividend to 491 and continue with: 4911 / 651

Let's proceed to step 7:
When dividing 4911 by 651, we get 7 with a remainder of 354.
The next digit of our result is 7. 
Result so far: 6727.0
Subtract 4557 from 4911 to get 354.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3540, and continue the process.

On to step 8:
651 can be fit into 3540 5 times, resulting in a remainder of 285.
Record the quotient 5 as the next digit in the result. 
Result so far: 6727.5
The remainder is 285 after subtracting 3255 from 3540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

On to step 9:
The number 651 fits into 2850 4 times, leaving a remainder of 246.
Record the quotient 4 as the next digit in the result. 
Result so far: 6727.54
The remainder is 246 after subtracting 2604 from 2850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Step 10:
The number 651 fits into 2460 3 times, leaving a remainder of 507.
The number 3 becomes the next digit in our result. 
Result so far: 6727.543
If we take 1953 away from 2460, we end up with 507.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5070, and continue the process.

Moving on to step 11:
The number 651 fits into 5070 7 times, leaving a remainder of 513.
Put 7 as the next digit of the answer. 
Result so far: 6727.5437
Subtracting 4557 from 5070 leaves us with 513.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5130, and continue the process.

Let's proceed to step 12:
5130 divided by 651 is 7 with a remainder of 573.
Write down 7 as next digit of the result. 
Result so far: 6727.54377
Subtract 4557 from 5130 to get 573.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5730, and continue the process.

In conclusion, the division gives 6727.54377 with a balance of 0.000573.