We're dividing 7406832 by 509 
We want to divide 7406832 by 509.

Going ahead to step 1:
When dividing 7 by 509, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 509

Moving on to step 2:
The number 509 fits into 74 0 times, leaving a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 74, we get 74.
Fetch the next digit (0) from the dividend, attach it to 74 and continue: 740 / 509

Moving on to step 3:
The number 509 fits into 740 1 times, leaving a remainder of 231.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 509 from 740 leaves us with 231.
Take the next digit (6) from the dividend and append it to 231, then repeat: 2316 / 509

Going ahead to step 4:
509 goes into 2316 4 times with a remainder of 280.
Write down 4 as next digit of the result. 
Result so far: 14.0
Deduct 2036 from 2316 and we're left with 280.
Fetch the next digit (8) from the dividend, attach it to 280 and continue: 2808 / 509

Going ahead to step 5:
When dividing 2808 by 509, we get 5 with a remainder of 263.
Record the quotient 5 as the next digit in the result. 
Result so far: 145.0
Deduct 2545 from 2808 and we're left with 263.
Bring next digit (3) of the dividend behind the 263 and repeat the process: 2633 / 509

Let's proceed to step 6:
509 can be fit into 2633 5 times, resulting in a remainder of 88.
Record the quotient 5 as the next digit in the result. 
Result so far: 1455.0
Deduct 2545 from 2633 and we're left with 88.
Fetch the next digit (2) from the dividend, attach it to 88 and continue: 882 / 509

Going ahead to step 7:
The number 509 fits into 882 1 times, leaving a remainder of 373.
The next digit of our result is 1. 
Result so far: 14551.0
Deduct 509 from 882 and we're left with 373.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3730, and continue the process.

Advancing to step 8:
3730 divided by 509 is 7 with a remainder of 167.
The number 7 becomes the next digit in our result. 
Result so far: 14551.7
Subtract 3563 from 3730 to get 167.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1670, and continue the process.

Let's proceed to step 9:
When dividing 1670 by 509, we get 3 with a remainder of 143.
Put 3 as the next digit of the answer. 
Result so far: 14551.73
If we subtract 1527 from 1670, we get 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Moving on to step 10:
When dividing 1430 by 509, we get 2 with a remainder of 412.
The next digit of our result is 2. 
Result so far: 14551.732
If we subtract 1018 from 1430, we get 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

On to step 11:
If we divide 4120 by 509, we get 8 and a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 14551.7328
The remainder is 48 after subtracting 4072 from 4120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 12:
509 goes into 480 0 times with a remainder of 480.
Write down 0 as next digit of the result. 
Result so far: 14551.7328
Subtracting 0 from 480 leaves us with 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Going ahead to step 13:
509 goes into 4800 9 times with a remainder of 219.
The number 9 becomes the next digit in our result. 
Result so far: 14551.732809
The remainder is 219 after subtracting 4581 from 4800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

Advancing to step 14:
When dividing 2190 by 509, we get 4 with a remainder of 154.
Write down 4 as next digit of the result. 
Result so far: 14551.7328094
If we subtract 2036 from 2190, we get 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Advancing to step 15:
1540 divided by 509 is 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 14551.73280943
The remainder is 13 after subtracting 1527 from 1540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final outcome is 14551.73280943, with a leftover of 1.3e-08.