340515 ÷ 59 
Let's see how many times 59 fits into 340515.

Going ahead to step 1:
If we divide 3 by 59, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 59

Let's proceed to step 2:
59 goes into 34 0 times with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Take the next digit (0) from the dividend and append it to 34, then repeat: 340 / 59

Moving on to step 3:
When dividing 340 by 59, we get 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 295 from 340 to get 45.
Append the next digit (5) from the dividend to 45 and continue with: 455 / 59

Step 4:
When dividing 455 by 59, we get 7 with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
If we take 413 away from 455, we end up with 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 59

Going ahead to step 5:
When dividing 421 by 59, we get 7 with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 577.0
Subtract 413 from 421 to get 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 59

Advancing to step 6:
If we divide 85 by 59, we get 1 and a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 5771.0
If we subtract 59 from 85, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
260 divided by 59 is 4 with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 5771.4
The remainder is 24 after subtracting 236 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
The number 59 fits into 240 4 times, leaving a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 5771.44
The remainder is 4 after subtracting 236 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 5771.44, and the remainder is 0.004.