761189 ÷ 87 
Our goal is to divide 761189 by 87.

On to step 1:
7 divided by 87 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 87

Step 2:
When dividing 76 by 87, we get 0 with a remainder of 76.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 76, we get 76.
Take the next digit (1) from the dividend and append it to 76, then repeat: 761 / 87

Going ahead to step 3:
When dividing 761 by 87, we get 8 with a remainder of 65.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 696 from 761 leaves us with 65.
Bring next digit (1) of the dividend behind the 65 and repeat the process: 651 / 87

Advancing to step 4:
When dividing 651 by 87, we get 7 with a remainder of 42.
Write down 7 as next digit of the result. 
Result so far: 87.0
If we take 609 away from 651, we end up with 42.
Fetch the next digit (8) from the dividend, attach it to 42 and continue: 428 / 87

Moving on to step 5:
428 divided by 87 is 4 with a remainder of 80.
The number 4 becomes the next digit in our result. 
Result so far: 874.0
The remainder is 80 after subtracting 348 from 428.
Bring next digit (9) of the dividend behind the 80 and repeat the process: 809 / 87

Moving on to step 6:
87 goes into 809 9 times with a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 8749.0
The remainder is 26 after subtracting 783 from 809.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
260 divided by 87 is 2 with a remainder of 86.
Put 2 as the next digit of the answer. 
Result so far: 8749.2
Subtract 174 from 260 to get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

On to step 8:
87 can be fit into 860 9 times, resulting in a remainder of 77.
Record the quotient 9 as the next digit in the result. 
Result so far: 8749.29
Subtracting 783 from 860 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 9:
87 goes into 770 8 times with a remainder of 74.
The next digit of our result is 8. 
Result so far: 8749.298
Subtract 696 from 770 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 10:
When dividing 740 by 87, we get 8 with a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 8749.2988
Subtracting 696 from 740 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 8749.2988 with a balance of 0.00044.