7667 divided by 69 
We want to figure out the number of times 7667 can be divided by 69.

Let's proceed to step 1:
69 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 69

Advancing to step 2:
If we divide 76 by 69, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 69 from 76, we get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 69

Moving on to step 3:
69 can be fit into 76 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 69 from 76 and we're left with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 69

Moving on to step 4:
77 divided by 69 is 1 with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 111.0
If we subtract 69 from 77, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 5:
69 can be fit into 80 1 times, resulting in a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 111.1
Deduct 69 from 80 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 6:
69 can be fit into 110 1 times, resulting in a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 111.11
Subtracting 69 from 110 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Our division results in 111.11 with a remaining 0.041.