We divide 684310 by 67
Our goal is to divide 684310 by 67.

Step 1:
6 divided by 67 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
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 / 67

Let's proceed to step 2:
When dividing 68 by 67, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 67 away from 68, we end up with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 67

Advancing to step 3:
The number 67 fits into 14 0 times, leaving a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 14 and we're left with 14.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 67

Step 4:
67 can be fit into 143 2 times, resulting in a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 102.0
If we subtract 134 from 143, we get 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 67

Step 5:
91 divided by 67 is 1 with a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 1021.0
Deduct 67 from 91 and we're left with 24.
Append the next digit (0) from the dividend to 24 and continue with: 240 / 67

Advancing to step 6:
The number 67 fits into 240 3 times, leaving a remainder of 39.
Record the quotient 3 as the next digit in the result. 
Result so far: 10213.0
If we take 201 away from 240, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 7:
When dividing 390 by 67, we get 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 10213.5
Deduct 335 from 390 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 8:
550 divided by 67 is 8 with a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 10213.58
The remainder is 14 after subtracting 536 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
When dividing 140 by 67, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 10213.582
Subtract 134 from 140 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.

On to step 10:
The number 67 fits into 60 0 times, leaving a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 10213.582
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 11:
67 can be fit into 600 8 times, resulting in a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 10213.58208
Deduct 536 from 600 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 12:
67 can be fit into 640 9 times, resulting in a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 10213.582089
If we take 603 away from 640, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 13:
67 goes into 370 5 times with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 10213.5820895
If we take 335 away from 370, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 14:
If we divide 350 by 67, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 10213.58208955
Deduct 335 from 350 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 10213.58208955 with a balance of 1.5e-08.