We're dividing 682186 by 67 
We want to divide 682186 by 67.

Advancing to step 1:
67 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 67

Advancing to step 2:
67 goes into 68 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 1 after subtracting 67 from 68.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 67

Moving on to step 3:
67 goes into 12 0 times with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 12 and we're left with 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 67

Advancing to step 4:
If we divide 121 by 67, we get 1 and a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 101.0
If we take 67 away from 121, we end up with 54.
Grab the next digit (8) from the dividend, add it to 54, then carry on: 548 / 67

Advancing to step 5:
The number 67 fits into 548 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 1018.0
If we take 536 away from 548, we end up with 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 67

On to step 6:
If we divide 126 by 67, we get 1 and a remainder of 59.
Write down 1 as next digit of the result. 
Result so far: 10181.0
Subtracting 67 from 126 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 7:
67 goes into 590 8 times with a remainder of 54.
The number 8 becomes the next digit in our result. 
Result so far: 10181.8
Deduct 536 from 590 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 8:
When dividing 540 by 67, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 10181.88
If we take 536 away from 540, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 10181.88 and a remainder of 0.004.