Let's divide 667107 by 65
We're looking to find how many times 65 goes into 667107.

Going ahead to step 1:
6 divided by 65 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 65

Step 2:
The number 65 fits into 66 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 1 after subtracting 65 from 66.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 65

Step 3:
The number 65 fits into 17 0 times, leaving a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 17, we get 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 65

Let's proceed to step 4:
If we divide 171 by 65, we get 2 and a remainder of 41.
Put 2 as the next digit of the answer. 
Result so far: 102.0
Deduct 130 from 171 and we're left with 41.
Fetch the next digit (0) from the dividend, attach it to 41 and continue: 410 / 65

Advancing to step 5:
410 divided by 65 is 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 1026.0
Subtracting 390 from 410 leaves us with 20.
Append the next digit (7) from the dividend to 20 and continue with: 207 / 65

Moving on to step 6:
If we divide 207 by 65, we get 3 and a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 10263.0
Subtract 195 from 207 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
When dividing 120 by 65, we get 1 with a remainder of 55.
Put 1 as the next digit of the answer. 
Result so far: 10263.1
Deduct 65 from 120 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.

Moving on to step 8:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 10263.18
Subtract 520 from 550 to get 30.
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 9:
65 can be fit into 300 4 times, resulting in a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 10263.184
Deduct 260 from 300 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
400 divided by 65 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 10263.1846
If we subtract 390 from 400, we get 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 11:
100 divided by 65 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 10263.18461
If we take 65 away from 100, 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.

On to step 12:
When dividing 350 by 65, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 10263.184615
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.

Moving on to step 13:
If we divide 250 by 65, we get 3 and a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 10263.1846153
Deduct 195 from 250 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.

Step 14:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 10263.18461538
Subtracting 520 from 550 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.

After the division, we end up with 10263.18461538 and a remainder of 3e-08.