We look at the division of 76590 by 35 
We're looking to find how many times 35 goes into 76590.

Moving on to step 1:
The number 35 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 35

Let's proceed to step 2:
76 divided by 35 is 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 70 from 76 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 35

Advancing to step 3:
35 can be fit into 65 1 times, resulting in a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 21.0
If we take 35 away from 65, we end up with 30.
Fetch the next digit (9) from the dividend, attach it to 30 and continue: 309 / 35

Advancing to step 4:
35 can be fit into 309 8 times, resulting in a remainder of 29.
Put 8 as the next digit of the answer. 
Result so far: 218.0
If we take 280 away from 309, we end up with 29.
Include the next digit (0) from the dividend after 29, then repeat: 290 / 35

Advancing to step 5:
If we divide 290 by 35, we get 8 and a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 2188.0
Deduct 280 from 290 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 6:
When dividing 100 by 35, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 2188.2
Deduct 70 from 100 and we're left 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.

Moving on to step 7:
300 divided by 35 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 2188.28
If we subtract 280 from 300, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
35 can be fit into 200 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 2188.285
Deduct 175 from 200 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
If we divide 250 by 35, we get 7 and a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 2188.2857
Subtracting 245 from 250 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
If we divide 50 by 35, we get 1 and a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 2188.28571
Deduct 35 from 50 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
150 divided by 35 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 2188.285714
Subtracting 140 from 150 leaves us with 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 12:
100 divided by 35 is 2 with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 2188.2857142
Subtracting 70 from 100 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.

On to step 13:
When dividing 300 by 35, we get 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 2188.28571428
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 2188.28571428, with a leftover of 2e-08.