135622 ÷ 59 
We're looking to find how many times 59 goes into 135622.

Advancing to step 1:
The number 59 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 59

Step 2:
When dividing 13 by 59, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 59

On to step 3:
When dividing 135 by 59, we get 2 with a remainder of 17.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 118 from 135, we get 17.
Fetch the next digit (6) from the dividend, attach it to 17 and continue: 176 / 59

Let's proceed to step 4:
If we divide 176 by 59, we get 2 and a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 22.0
If we take 118 away from 176, we end up with 58.
Grab the next digit (2) from the dividend, add it to 58, then carry on: 582 / 59

On to step 5:
The number 59 fits into 582 9 times, leaving a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 229.0
Subtract 531 from 582 to get 51.
Bring next digit (2) of the dividend behind the 51 and repeat the process: 512 / 59

Going ahead to step 6:
If we divide 512 by 59, we get 8 and a remainder of 40.
The next digit of our result is 8. 
Result so far: 2298.0
If we take 472 away from 512, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
If we divide 400 by 59, we get 6 and a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 2298.6
If we take 354 away from 400, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
59 can be fit into 460 7 times, resulting in a remainder of 47.
Record the quotient 7 as the next digit in the result. 
Result so far: 2298.67
Subtracting 413 from 460 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 9:
59 can be fit into 470 7 times, resulting in a remainder of 57.
The next digit of our result is 7. 
Result so far: 2298.677
Subtract 413 from 470 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The quotient of the division is 2298.677, and the remainder is 0.0057.