We look at the division of 35888 by 35 
We want to figure out the number of times 35888 can be divided by 35.

On to step 1:
If we divide 3 by 35, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 35

Let's proceed to step 2:
35 goes into 35 1 times with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 35 from 35 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 35

Advancing to step 3:
If we divide 8 by 35, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 8 to get 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 35

Let's proceed to step 4:
The number 35 fits into 88 2 times, leaving a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 102.0
Subtracting 70 from 88 leaves us with 18.
Take the next digit (8) from the dividend and append it to 18, then repeat: 188 / 35

Step 5:
35 goes into 188 5 times with a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 1025.0
Subtract 175 from 188 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 6:
35 goes into 130 3 times with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 1025.3
Deduct 105 from 130 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.

On to step 7:
The number 35 fits into 250 7 times, leaving a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 1025.37
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.

Advancing to step 8:
50 divided by 35 is 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 1025.371
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.

Step 9:
150 divided by 35 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 1025.3714
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
100 divided by 35 is 2 with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 1025.37142
Subtract 70 from 100 to get 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 11:
The number 35 fits into 300 8 times, leaving a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 1025.371428
If we take 280 away from 300, we end up 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.

Advancing to step 12:
200 divided by 35 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 1025.3714285
Subtract 175 from 200 to get 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 13:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 1025.37142857
If we subtract 245 from 250, 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.

After the division, we end up with 1025.37142857 and a remainder of 5e-09.