42590 ÷ 35 
We want to divide 42590 by 35.

Step 1:
If we divide 4 by 35, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 35

Advancing to step 2:
If we divide 42 by 35, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 35 from 42, we get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 35

Going ahead to step 3:
The number 35 fits into 75 2 times, leaving a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 70 away from 75, we end up with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 35

Going ahead to step 4:
If we divide 59 by 35, we get 1 and a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 121.0
Deduct 35 from 59 and we're left with 24.
Bring next digit (0) of the dividend behind the 24 and repeat the process: 240 / 35

Moving on to step 5:
If we divide 240 by 35, we get 6 and a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 1216.0
Deduct 210 from 240 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.

Step 6:
300 divided by 35 is 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 1216.8
Subtracting 280 from 300 leaves us 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.

On to step 7:
200 divided by 35 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 1216.85
If we take 175 away from 200, we end up 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 8:
250 divided by 35 is 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 1216.857
If we take 245 away from 250, we end up 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 9:
35 can be fit into 50 1 times, resulting in a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1216.8571
If we take 35 away from 50, we end up 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.

On to step 10:
150 divided by 35 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 1216.85714
If we take 140 away from 150, we end up 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 11:
100 divided by 35 is 2 with a remainder of 30.
The next digit of our result is 2. 
Result so far: 1216.857142
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 12:
35 goes into 300 8 times with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 1216.8571428
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.

Going ahead to step 13:
35 goes into 200 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1216.85714285
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 1216.85714285 with a remaining 2.5e-08.