We're dividing 3406832 by 516 
Our goal is to divide 3406832 by 516.

Let's proceed to step 1:
The number 516 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 516

On to step 2:
516 goes into 34 0 times with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Grab the next digit (0) from the dividend, add it to 34, then carry on: 340 / 516

Moving on to step 3:
The number 516 fits into 340 0 times, leaving a remainder of 340.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 340 leaves us with 340.
Grab the next digit (6) from the dividend, add it to 340, then carry on: 3406 / 516

Step 4:
3406 divided by 516 is 6 with a remainder of 310.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 3096 from 3406 and we're left with 310.
Bring next digit (8) of the dividend behind the 310 and repeat the process: 3108 / 516

Let's proceed to step 5:
516 can be fit into 3108 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 66.0
Subtract 3096 from 3108 to get 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 516

Let's proceed to step 6:
516 can be fit into 123 0 times, resulting in a remainder of 123.
Record the quotient 0 as the next digit in the result. 
Result so far: 660.0
The remainder is 123 after subtracting 0 from 123.
Append the next digit (2) from the dividend to 123 and continue with: 1232 / 516

Going ahead to step 7:
1232 divided by 516 is 2 with a remainder of 200.
Record the quotient 2 as the next digit in the result. 
Result so far: 6602.0
Subtracting 1032 from 1232 leaves us with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Let's proceed to step 8:
The number 516 fits into 2000 3 times, leaving a remainder of 452.
Write down 3 as next digit of the result. 
Result so far: 6602.3
Deduct 1548 from 2000 and we're left with 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

Let's proceed to step 9:
The number 516 fits into 4520 8 times, leaving a remainder of 392.
The number 8 becomes the next digit in our result. 
Result so far: 6602.38
If we take 4128 away from 4520, we end up with 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Advancing to step 10:
If we divide 3920 by 516, we get 7 and a remainder of 308.
The next digit of our result is 7. 
Result so far: 6602.387
Subtracting 3612 from 3920 leaves us with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

On to step 11:
When dividing 3080 by 516, we get 5 with a remainder of 500.
Put 5 as the next digit of the answer. 
Result so far: 6602.3875
Deduct 2580 from 3080 and we're left with 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Let's proceed to step 12:
516 can be fit into 5000 9 times, resulting in a remainder of 356.
Write down 9 as next digit of the result. 
Result so far: 6602.38759
If we subtract 4644 from 5000, we get 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

Step 13:
516 can be fit into 3560 6 times, resulting in a remainder of 464.
Record the quotient 6 as the next digit in the result. 
Result so far: 6602.387596
Subtract 3096 from 3560 to get 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Let's proceed to step 14:
4640 divided by 516 is 8 with a remainder of 512.
Use 8 as the next digit of our solution. 
Result so far: 6602.3875968
Deduct 4128 from 4640 and we're left with 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

Going ahead to step 15:
5120 divided by 516 is 9 with a remainder of 476.
Write down 9 as next digit of the result. 
Result so far: 6602.38759689
Subtract 4644 from 5120 to get 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

The final result is 6602.38759689 with a remainder of 4.76e-07.