61834565 ÷ 646 
Our goal is to divide 61834565 by 646.

Going ahead to step 1:
When dividing 6 by 646, we get 0 with 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.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 646

Let's proceed to step 2:
The number 646 fits into 61 0 times, leaving a remainder of 61.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 61 after subtracting 0 from 61.
Take the next digit (8) from the dividend and append it to 61, then repeat: 618 / 646

Let's proceed to step 3:
If we divide 618 by 646, we get 0 and a remainder of 618.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 618 after subtracting 0 from 618.
Include the next digit (3) from the dividend after 618, then repeat: 6183 / 646

Step 4:
6183 divided by 646 is 9 with a remainder of 369.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 5814 from 6183, we get 369.
Include the next digit (4) from the dividend after 369, then repeat: 3694 / 646

Step 5:
3694 divided by 646 is 5 with a remainder of 464.
Use 5 as the next digit of our solution. 
Result so far: 95.0
Deduct 3230 from 3694 and we're left with 464.
Fetch the next digit (5) from the dividend, attach it to 464 and continue: 4645 / 646

Let's proceed to step 6:
646 goes into 4645 7 times with a remainder of 123.
The number 7 becomes the next digit in our result. 
Result so far: 957.0
If we take 4522 away from 4645, we end up with 123.
Append the next digit (6) from the dividend to 123 and continue with: 1236 / 646

Step 7:
646 goes into 1236 1 times with a remainder of 590.
Record the quotient 1 as the next digit in the result. 
Result so far: 9571.0
If we take 646 away from 1236, we end up with 590.
Bring next digit (5) of the dividend behind the 590 and repeat the process: 5905 / 646

Going ahead to step 8:
The number 646 fits into 5905 9 times, leaving a remainder of 91.
Record the quotient 9 as the next digit in the result. 
Result so far: 95719.0
The remainder is 91 after subtracting 5814 from 5905.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Step 9:
646 goes into 910 1 times with a remainder of 264.
Put 1 as the next digit of the answer. 
Result so far: 95719.1
The remainder is 264 after subtracting 646 from 910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Advancing to step 10:
If we divide 2640 by 646, we get 4 and a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 95719.14
Subtracting 2584 from 2640 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
646 can be fit into 560 0 times, resulting in a remainder of 560.
The next digit of our result is 0. 
Result so far: 95719.14
If we take 0 away from 560, we end up with 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

Step 12:
The number 646 fits into 5600 8 times, leaving a remainder of 432.
Use 8 as the next digit of our solution. 
Result so far: 95719.1408
Subtracting 5168 from 5600 leaves us with 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

On to step 13:
If we divide 4320 by 646, we get 6 and a remainder of 444.
The next digit of our result is 6. 
Result so far: 95719.14086
Subtract 3876 from 4320 to get 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Advancing to step 14:
646 can be fit into 4440 6 times, resulting in a remainder of 564.
The number 6 becomes the next digit in our result. 
Result so far: 95719.140866
Subtracting 3876 from 4440 leaves us with 564.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5640, and continue the process.

After the division, we end up with 95719.140866 and a remainder of 5.64e-05.