We're dividing 6343714 by 801 
We want to divide 6343714 by 801.

Step 1:
6 divided by 801 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 801

Let's proceed to step 2:
The number 801 fits into 63 0 times, leaving a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Bring next digit (4) of the dividend behind the 63 and repeat the process: 634 / 801

On to step 3:
634 divided by 801 is 0 with a remainder of 634.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 634 to get 634.
Take the next digit (3) from the dividend and append it to 634, then repeat: 6343 / 801

On to step 4:
When dividing 6343 by 801, we get 7 with a remainder of 736.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 5607 from 6343 leaves us with 736.
Grab the next digit (7) from the dividend, add it to 736, then carry on: 7367 / 801

Step 5:
When dividing 7367 by 801, we get 9 with a remainder of 158.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
Subtract 7209 from 7367 to get 158.
Append the next digit (1) from the dividend to 158 and continue with: 1581 / 801

Advancing to step 6:
When dividing 1581 by 801, we get 1 with a remainder of 780.
The next digit of our result is 1. 
Result so far: 791.0
Deduct 801 from 1581 and we're left with 780.
Fetch the next digit (4) from the dividend, attach it to 780 and continue: 7804 / 801

Moving on to step 7:
801 can be fit into 7804 9 times, resulting in a remainder of 595.
The next digit of our result is 9. 
Result so far: 7919.0
If we take 7209 away from 7804, we end up with 595.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5950, and continue the process.

Going ahead to step 8:
801 can be fit into 5950 7 times, resulting in a remainder of 343.
Use 7 as the next digit of our solution. 
Result so far: 7919.7
Deduct 5607 from 5950 and we're left with 343.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3430, and continue the process.

On to step 9:
801 can be fit into 3430 4 times, resulting in a remainder of 226.
Use 4 as the next digit of our solution. 
Result so far: 7919.74
If we take 3204 away from 3430, we end up with 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

Advancing to step 10:
2260 divided by 801 is 2 with a remainder of 658.
Write down 2 as next digit of the result. 
Result so far: 7919.742
Subtract 1602 from 2260 to get 658.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6580, and continue the process.

Let's proceed to step 11:
6580 divided by 801 is 8 with a remainder of 172.
Put 8 as the next digit of the answer. 
Result so far: 7919.7428
Deduct 6408 from 6580 and we're left with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Moving on to step 12:
If we divide 1720 by 801, we get 2 and a remainder of 118.
Record the quotient 2 as the next digit in the result. 
Result so far: 7919.74282
Deduct 1602 from 1720 and we're left with 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Advancing to step 13:
When dividing 1180 by 801, we get 1 with a remainder of 379.
Write down 1 as next digit of the result. 
Result so far: 7919.742821
Subtract 801 from 1180 to get 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

Moving on to step 14:
801 can be fit into 3790 4 times, resulting in a remainder of 586.
Use 4 as the next digit of our solution. 
Result so far: 7919.7428214
If we subtract 3204 from 3790, we get 586.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5860, and continue the process.

Let's proceed to step 15:
5860 divided by 801 is 7 with a remainder of 253.
Use 7 as the next digit of our solution. 
Result so far: 7919.74282147
Subtracting 5607 from 5860 leaves us with 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

The final outcome is 7919.74282147, with a leftover of 2.53e-07.