We're dividing 6513817 by 803 
We're looking to find how many times 803 goes into 6513817.

Advancing to step 1:
803 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 803

On to step 2:
65 divided by 803 is 0 with a remainder of 65.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Fetch the next digit (1) from the dividend, attach it to 65 and continue: 651 / 803

Let's proceed to step 3:
803 goes into 651 0 times with a remainder of 651.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 651 to get 651.
Append the next digit (3) from the dividend to 651 and continue with: 6513 / 803

Step 4:
803 goes into 6513 8 times with a remainder of 89.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 6424 from 6513 leaves us with 89.
Fetch the next digit (8) from the dividend, attach it to 89 and continue: 898 / 803

Going ahead to step 5:
803 goes into 898 1 times with a remainder of 95.
Use 1 as the next digit of our solution. 
Result so far: 81.0
Deduct 803 from 898 and we're left with 95.
Fetch the next digit (1) from the dividend, attach it to 95 and continue: 951 / 803

Moving on to step 6:
803 can be fit into 951 1 times, resulting in a remainder of 148.
Use 1 as the next digit of our solution. 
Result so far: 811.0
Deduct 803 from 951 and we're left with 148.
Grab the next digit (7) from the dividend, add it to 148, then carry on: 1487 / 803

Let's proceed to step 7:
The number 803 fits into 1487 1 times, leaving a remainder of 684.
Put 1 as the next digit of the answer. 
Result so far: 8111.0
Subtracting 803 from 1487 leaves us with 684.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6840, and continue the process.

On to step 8:
803 goes into 6840 8 times with a remainder of 416.
Record the quotient 8 as the next digit in the result. 
Result so far: 8111.8
If we subtract 6424 from 6840, we get 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

Let's proceed to step 9:
4160 divided by 803 is 5 with a remainder of 145.
Put 5 as the next digit of the answer. 
Result so far: 8111.85
Subtract 4015 from 4160 to get 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Step 10:
803 can be fit into 1450 1 times, resulting in a remainder of 647.
Record the quotient 1 as the next digit in the result. 
Result so far: 8111.851
The remainder is 647 after subtracting 803 from 1450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6470, and continue the process.

Moving on to step 11:
When dividing 6470 by 803, we get 8 with a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 8111.8518
The remainder is 46 after subtracting 6424 from 6470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 12:
When dividing 460 by 803, we get 0 with a remainder of 460.
The next digit of our result is 0. 
Result so far: 8111.8518
Subtract 0 from 460 to get 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Going ahead to step 13:
When dividing 4600 by 803, we get 5 with a remainder of 585.
Use 5 as the next digit of our solution. 
Result so far: 8111.851805
Subtracting 4015 from 4600 leaves us with 585.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5850, and continue the process.

Moving on to step 14:
803 can be fit into 5850 7 times, resulting in a remainder of 229.
Use 7 as the next digit of our solution. 
Result so far: 8111.8518057
Subtracting 5621 from 5850 leaves us with 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Advancing to step 15:
The number 803 fits into 2290 2 times, leaving a remainder of 684.
Use 2 as the next digit of our solution. 
Result so far: 8111.85180572
Deduct 1606 from 2290 and we're left with 684.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6840, and continue the process.

After the division, we end up with 8111.85180572 and a remainder of 6.84e-07.