We're dividing 7612 by 13 
We want to figure out the number of times 7612 can be divided by 13.

Moving on to step 1:
13 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 13

On to step 2:
If we divide 76 by 13, we get 5 and a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 65 from 76, we get 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 13

Going ahead to step 3:
111 divided by 13 is 8 with a remainder of 7.
The next digit of our result is 8. 
Result so far: 58.0
Subtract 104 from 111 to get 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 13

Advancing to step 4:
13 goes into 72 5 times with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 585.0
The remainder is 7 after subtracting 65 from 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 5:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 585.5
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 6:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 585.53
Deduct 39 from 50 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.

Step 7:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 585.538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 585.5384
If we subtract 52 from 60, 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.

Advancing to step 9:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 585.53846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 585.538461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 585.5384615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
50 divided by 13 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 585.53846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The quotient of the division is 585.53846153, and the remainder is 1.1e-08.