71089 ÷ 77 
We want to figure out the number of times 71089 can be divided by 77.

Let's proceed to step 1:
77 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 77

Going ahead to step 2:
When dividing 71 by 77, we get 0 with a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 71 after subtracting 0 from 71.
Bring next digit (0) of the dividend behind the 71 and repeat the process: 710 / 77

Advancing to step 3:
77 goes into 710 9 times with a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 693 from 710 leaves us with 17.
Bring next digit (8) of the dividend behind the 17 and repeat the process: 178 / 77

Moving on to step 4:
77 can be fit into 178 2 times, resulting in a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 92.0
Deduct 154 from 178 and we're left with 24.
Append the next digit (9) from the dividend to 24 and continue with: 249 / 77

Step 5:
The number 77 fits into 249 3 times, leaving a remainder of 18.
The next digit of our result is 3. 
Result so far: 923.0
The remainder is 18 after subtracting 231 from 249.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 6:
180 divided by 77 is 2 with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 923.2
Subtracting 154 from 180 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
The number 77 fits into 260 3 times, leaving a remainder of 29.
The next digit of our result is 3. 
Result so far: 923.23
If we take 231 away from 260, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 8:
290 divided by 77 is 3 with a remainder of 59.
The next digit of our result is 3. 
Result so far: 923.233
Subtracting 231 from 290 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

The quotient of the division is 923.233, and the remainder is 0.0059.