6514142 ÷ 839 
Our goal is to divide 6514142 by 839.

Step 1:
The number 839 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 839

Step 2:
The number 839 fits into 65 0 times, leaving a remainder of 65.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 65, we end up with 65.
Bring next digit (1) of the dividend behind the 65 and repeat the process: 651 / 839

Going ahead to step 3:
The number 839 fits into 651 0 times, leaving a remainder of 651.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 651 to get 651.
Fetch the next digit (4) from the dividend, attach it to 651 and continue: 6514 / 839

On to step 4:
6514 divided by 839 is 7 with a remainder of 641.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 5873 from 6514, we get 641.
Append the next digit (1) from the dividend to 641 and continue with: 6411 / 839

Step 5:
If we divide 6411 by 839, we get 7 and a remainder of 538.
The next digit of our result is 7. 
Result so far: 77.0
The remainder is 538 after subtracting 5873 from 6411.
Append the next digit (4) from the dividend to 538 and continue with: 5384 / 839

Going ahead to step 6:
839 can be fit into 5384 6 times, resulting in a remainder of 350.
Record the quotient 6 as the next digit in the result. 
Result so far: 776.0
Deduct 5034 from 5384 and we're left with 350.
Grab the next digit (2) from the dividend, add it to 350, then carry on: 3502 / 839

Going ahead to step 7:
If we divide 3502 by 839, we get 4 and a remainder of 146.
Put 4 as the next digit of the answer. 
Result so far: 7764.0
The remainder is 146 after subtracting 3356 from 3502.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Step 8:
1460 divided by 839 is 1 with a remainder of 621.
Use 1 as the next digit of our solution. 
Result so far: 7764.1
The remainder is 621 after subtracting 839 from 1460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6210, and continue the process.

Advancing to step 9:
839 goes into 6210 7 times with a remainder of 337.
Record the quotient 7 as the next digit in the result. 
Result so far: 7764.17
Subtract 5873 from 6210 to get 337.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3370, and continue the process.

Step 10:
The number 839 fits into 3370 4 times, leaving a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 7764.174
Subtract 3356 from 3370 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 11:
839 goes into 140 0 times with a remainder of 140.
Write down 0 as next digit of the result. 
Result so far: 7764.174
Subtract 0 from 140 to get 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Advancing to step 12:
The number 839 fits into 1400 1 times, leaving a remainder of 561.
Use 1 as the next digit of our solution. 
Result so far: 7764.17401
Subtracting 839 from 1400 leaves us with 561.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5610, and continue the process.

Moving on to step 13:
5610 divided by 839 is 6 with a remainder of 576.
The next digit of our result is 6. 
Result so far: 7764.174016
Subtracting 5034 from 5610 leaves us with 576.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5760, and continue the process.

Let's proceed to step 14:
The number 839 fits into 5760 6 times, leaving a remainder of 726.
Write down 6 as next digit of the result. 
Result so far: 7764.1740166
If we take 5034 away from 5760, we end up with 726.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7260, and continue the process.

The final result is 7764.1740166 with a remainder of 7.26e-06.