Let's divide 680389 by 61
We want to divide 680389 by 61.

Advancing to step 1:
If we divide 6 by 61, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 61

Going ahead to step 2:
61 can be fit into 68 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 61 from 68 leaves us with 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 61

Let's proceed to step 3:
When dividing 70 by 61, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 61 from 70 leaves us with 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 61

On to step 4:
If we divide 93 by 61, we get 1 and a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 111.0
The remainder is 32 after subtracting 61 from 93.
Include the next digit (8) from the dividend after 32, then repeat: 328 / 61

Let's proceed to step 5:
61 can be fit into 328 5 times, resulting in a remainder of 23.
Record the quotient 5 as the next digit in the result. 
Result so far: 1115.0
Subtracting 305 from 328 leaves us with 23.
Bring next digit (9) of the dividend behind the 23 and repeat the process: 239 / 61

Step 6:
The number 61 fits into 239 3 times, leaving a remainder of 56.
Put 3 as the next digit of the answer. 
Result so far: 11153.0
The remainder is 56 after subtracting 183 from 239.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 7:
The number 61 fits into 560 9 times, leaving a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 11153.9
Subtracting 549 from 560 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
If we divide 110 by 61, we get 1 and a remainder of 49.
The next digit of our result is 1. 
Result so far: 11153.91
The remainder is 49 after subtracting 61 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 9:
When dividing 490 by 61, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 11153.918
Subtract 488 from 490 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 10:
61 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 11153.918
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
200 divided by 61 is 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 11153.91803
If we take 183 away from 200, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 12:
170 divided by 61 is 2 with a remainder of 48.
Record the quotient 2 as the next digit in the result. 
Result so far: 11153.918032
If we take 122 away from 170, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 13:
480 divided by 61 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 11153.9180327
The remainder is 53 after subtracting 427 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 14:
61 goes into 530 8 times with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 11153.91803278
Subtract 488 from 530 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

In conclusion, the division gives 11153.91803278 with a balance of 4.2e-08.