We divide 6589979 by 434
Let's see how many times 434 fits into 6589979.

Step 1:
If we divide 6 by 434, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 434

Let's proceed to step 2:
The number 434 fits into 65 0 times, leaving a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 65 and we're left with 65.
Include the next digit (8) from the dividend after 65, then repeat: 658 / 434

Going ahead to step 3:
The number 434 fits into 658 1 times, leaving a remainder of 224.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 434 from 658 to get 224.
Take the next digit (9) from the dividend and append it to 224, then repeat: 2249 / 434

Advancing to step 4:
The number 434 fits into 2249 5 times, leaving a remainder of 79.
The next digit of our result is 5. 
Result so far: 15.0
If we take 2170 away from 2249, we end up with 79.
Take the next digit (9) from the dividend and append it to 79, then repeat: 799 / 434

Advancing to step 5:
The number 434 fits into 799 1 times, leaving a remainder of 365.
Write down 1 as next digit of the result. 
Result so far: 151.0
If we take 434 away from 799, we end up with 365.
Take the next digit (7) from the dividend and append it to 365, then repeat: 3657 / 434

Advancing to step 6:
434 can be fit into 3657 8 times, resulting in a remainder of 185.
Put 8 as the next digit of the answer. 
Result so far: 1518.0
The remainder is 185 after subtracting 3472 from 3657.
Grab the next digit (9) from the dividend, add it to 185, then carry on: 1859 / 434

Advancing to step 7:
434 goes into 1859 4 times with a remainder of 123.
Put 4 as the next digit of the answer. 
Result so far: 15184.0
Deduct 1736 from 1859 and we're left with 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

Let's proceed to step 8:
When dividing 1230 by 434, we get 2 with a remainder of 362.
Use 2 as the next digit of our solution. 
Result so far: 15184.2
Subtract 868 from 1230 to get 362.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3620, and continue the process.

Going ahead to step 9:
If we divide 3620 by 434, we get 8 and a remainder of 148.
Record the quotient 8 as the next digit in the result. 
Result so far: 15184.28
If we subtract 3472 from 3620, we get 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Advancing to step 10:
434 goes into 1480 3 times with a remainder of 178.
Use 3 as the next digit of our solution. 
Result so far: 15184.283
Subtracting 1302 from 1480 leaves us with 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

On to step 11:
434 goes into 1780 4 times with a remainder of 44.
Use 4 as the next digit of our solution. 
Result so far: 15184.2834
The remainder is 44 after subtracting 1736 from 1780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 12:
The number 434 fits into 440 1 times, leaving a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 15184.28341
Subtract 434 from 440 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
If we divide 60 by 434, we get 0 and a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 15184.28341
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 14:
If we divide 600 by 434, we get 1 and a remainder of 166.
Use 1 as the next digit of our solution. 
Result so far: 15184.2834101
If we subtract 434 from 600, we get 166.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

Let's proceed to step 15:
The number 434 fits into 1660 3 times, leaving a remainder of 358.
Use 3 as the next digit of our solution. 
Result so far: 15184.28341013
If we take 1302 away from 1660, we end up with 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

The quotient of the division is 15184.28341013, and the remainder is 3.58e-07.