259669 ÷ 35 
We're looking to find how many times 35 goes into 259669.

Advancing to step 1:
35 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 35

On to step 2:
When dividing 25 by 35, we get 0 with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 35

Step 3:
When dividing 259 by 35, we get 7 with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 245 from 259 leaves us with 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 35

Advancing to step 4:
If we divide 146 by 35, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 74.0
If we take 140 away from 146, we end up with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 35

Advancing to step 5:
35 goes into 66 1 times with a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 741.0
Deduct 35 from 66 and we're left with 31.
Append the next digit (9) from the dividend to 31 and continue with: 319 / 35

Step 6:
When dividing 319 by 35, we get 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 7419.0
If we take 315 away from 319, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
If we divide 40 by 35, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 7419.1
Deduct 35 from 40 and we're left 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.

Step 8:
35 goes into 50 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 7419.11
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.

The final outcome is 7419.11, with a leftover of 0.015.