369581 ÷ 59 
We want to divide 369581 by 59.

On to step 1:
3 divided by 59 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 59

Step 2:
If we divide 36 by 59, we get 0 and a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 36, we end up with 36.
Append the next digit (9) from the dividend to 36 and continue with: 369 / 59

Let's proceed to step 3:
When dividing 369 by 59, we get 6 with a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 354 from 369 leaves us with 15.
Append the next digit (5) from the dividend to 15 and continue with: 155 / 59

Step 4:
59 can be fit into 155 2 times, resulting in a remainder of 37.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
Deduct 118 from 155 and we're left with 37.
Bring next digit (8) of the dividend behind the 37 and repeat the process: 378 / 59

Going ahead to step 5:
378 divided by 59 is 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 626.0
The remainder is 24 after subtracting 354 from 378.
Grab the next digit (1) from the dividend, add it to 24, then carry on: 241 / 59

Advancing to step 6:
59 can be fit into 241 4 times, resulting in a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 6264.0
Subtracting 236 from 241 leaves us 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.

Moving on to step 7:
When dividing 50 by 59, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 6264.0
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
When dividing 500 by 59, we get 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 6264.08
The remainder is 28 after subtracting 472 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
When dividing 280 by 59, we get 4 with a remainder of 44.
The next digit of our result is 4. 
Result so far: 6264.084
The remainder is 44 after subtracting 236 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 10:
440 divided by 59 is 7 with a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 6264.0847
The remainder is 27 after subtracting 413 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 11:
59 goes into 270 4 times with a remainder of 34.
Put 4 as the next digit of the answer. 
Result so far: 6264.08474
Subtracting 236 from 270 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 12:
The number 59 fits into 340 5 times, leaving a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 6264.084745
Subtract 295 from 340 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 13:
If we divide 450 by 59, we get 7 and a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 6264.0847457
Subtract 413 from 450 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 14:
When dividing 370 by 59, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 6264.08474576
Subtracting 354 from 370 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 6264.08474576 and a remainder of 1.6e-08.