We look at the division of 412522 by 67 
Let's see how many times 67 fits into 412522.

Going ahead to step 1:
When dividing 4 by 67, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 67

On to step 2:
67 goes into 41 0 times with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Fetch the next digit (2) from the dividend, attach it to 41 and continue: 412 / 67

On to step 3:
67 can be fit into 412 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 402 from 412 to get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 67

Let's proceed to step 4:
When dividing 105 by 67, we get 1 with a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 61.0
The remainder is 38 after subtracting 67 from 105.
Include the next digit (2) from the dividend after 38, then repeat: 382 / 67

Step 5:
If we divide 382 by 67, we get 5 and a remainder of 47.
Record the quotient 5 as the next digit in the result. 
Result so far: 615.0
Subtracting 335 from 382 leaves us with 47.
Take the next digit (2) from the dividend and append it to 47, then repeat: 472 / 67

Let's proceed to step 6:
When dividing 472 by 67, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 6157.0
The remainder is 3 after subtracting 469 from 472.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
30 divided by 67 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 6157.0
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
If we divide 300 by 67, we get 4 and a remainder of 32.
The next digit of our result is 4. 
Result so far: 6157.04
Deduct 268 from 300 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
67 can be fit into 320 4 times, resulting in a remainder of 52.
Record the quotient 4 as the next digit in the result. 
Result so far: 6157.044
Subtracting 268 from 320 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 6157.044, and the remainder is 0.0052.