338589 ÷ 59 
We're looking to find how many times 59 goes into 338589.

Moving on to step 1:
59 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 59

On to step 2:
59 goes into 33 0 times with a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Append the next digit (8) from the dividend to 33 and continue with: 338 / 59

Advancing to step 3:
The number 59 fits into 338 5 times, leaving a remainder of 43.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 295 away from 338, we end up with 43.
Grab the next digit (5) from the dividend, add it to 43, then carry on: 435 / 59

Going ahead to step 4:
When dividing 435 by 59, we get 7 with a remainder of 22.
Write down 7 as next digit of the result. 
Result so far: 57.0
Deduct 413 from 435 and we're left with 22.
Append the next digit (8) from the dividend to 22 and continue with: 228 / 59

On to step 5:
59 can be fit into 228 3 times, resulting in a remainder of 51.
The number 3 becomes the next digit in our result. 
Result so far: 573.0
Subtracting 177 from 228 leaves us with 51.
Bring next digit (9) of the dividend behind the 51 and repeat the process: 519 / 59

Going ahead to step 6:
When dividing 519 by 59, we get 8 with a remainder of 47.
Record the quotient 8 as the next digit in the result. 
Result so far: 5738.0
If we take 472 away from 519, we end up 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.

On to step 7:
If we divide 470 by 59, we get 7 and a remainder of 57.
The number 7 becomes the next digit in our result. 
Result so far: 5738.7
Deduct 413 from 470 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 8:
59 can be fit into 570 9 times, resulting in a remainder of 39.
Put 9 as the next digit of the answer. 
Result so far: 5738.79
If we subtract 531 from 570, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 9:
59 goes into 390 6 times with a remainder of 36.
Write down 6 as next digit of the result. 
Result so far: 5738.796
Subtract 354 from 390 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 10:
When dividing 360 by 59, we get 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 5738.7966
If we subtract 354 from 360, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 5738.7966 with a remaining 6e-05.