We divide 105434 by 65
Our goal is to divide 105434 by 65.

On to step 1:
65 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 65

Step 2:
When dividing 10 by 65, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 65

Step 3:
65 can be fit into 105 1 times, resulting in a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 40 after subtracting 65 from 105.
Bring next digit (4) of the dividend behind the 40 and repeat the process: 404 / 65

Let's proceed to step 4:
If we divide 404 by 65, we get 6 and a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtract 390 from 404 to get 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 65

Advancing to step 5:
If we divide 143 by 65, we get 2 and a remainder of 13.
The next digit of our result is 2. 
Result so far: 162.0
If we subtract 130 from 143, we get 13.
Take the next digit (4) from the dividend and append it to 13, then repeat: 134 / 65

Step 6:
The number 65 fits into 134 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 1622.0
The remainder is 4 after subtracting 130 from 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
The number 65 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 1622.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
65 goes into 400 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 1622.06
Subtracting 390 from 400 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
65 goes into 100 1 times with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 1622.061
Subtract 65 from 100 to get 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 10:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 1622.0615
Subtract 325 from 350 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 11:
65 goes into 250 3 times with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 1622.06153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 12:
When dividing 550 by 65, we get 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 1622.061538
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
When dividing 300 by 65, we get 4 with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 1622.0615384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 14:
If we divide 400 by 65, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 1622.06153846
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 1622.06153846, and the remainder is 1e-08.