We're dividing 105412 by 67 
Our goal is to divide 105412 by 67.

Going ahead to step 1:
1 divided by 67 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 67

Going ahead to step 2:
67 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 67

Let's proceed to step 3:
105 divided by 67 is 1 with a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 67 from 105 to get 38.
Include the next digit (4) from the dividend after 38, then repeat: 384 / 67

Moving on to step 4:
If we divide 384 by 67, we get 5 and a remainder of 49.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 335 from 384, we get 49.
Include the next digit (1) from the dividend after 49, then repeat: 491 / 67

Moving on to step 5:
If we divide 491 by 67, we get 7 and a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 157.0
If we subtract 469 from 491, we get 22.
Grab the next digit (2) from the dividend, add it to 22, then carry on: 222 / 67

Let's proceed to step 6:
67 goes into 222 3 times with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 1573.0
Deduct 201 from 222 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
If we divide 210 by 67, we get 3 and a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 1573.3
Subtracting 201 from 210 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
When dividing 90 by 67, we get 1 with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1573.31
If we take 67 away from 90, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 9:
67 goes into 230 3 times with a remainder of 29.
Put 3 as the next digit of the answer. 
Result so far: 1573.313
Subtract 201 from 230 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 10:
67 can be fit into 290 4 times, resulting in a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 1573.3134
Subtract 268 from 290 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 11:
220 divided by 67 is 3 with a remainder of 19.
The next digit of our result is 3. 
Result so far: 1573.31343
If we subtract 201 from 220, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 12:
190 divided by 67 is 2 with a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 1573.313432
Subtracting 134 from 190 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.

Going ahead to step 13:
When dividing 560 by 67, we get 8 with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 1573.3134328
Subtracting 536 from 560 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
When dividing 240 by 67, we get 3 with a remainder of 39.
Record the quotient 3 as the next digit in the result. 
Result so far: 1573.31343283
Deduct 201 from 240 and we're left 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.

In conclusion, the division gives 1573.31343283 with a balance of 3.9e-08.