We divide 583378 by 34
We want to divide 583378 by 34.

Let's proceed to step 1:
5 divided by 34 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 34

On to step 2:
When dividing 58 by 34, we get 1 with a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 34 from 58 to get 24.
Fetch the next digit (3) from the dividend, attach it to 24 and continue: 243 / 34

Advancing to step 3:
If we divide 243 by 34, we get 7 and a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Deduct 238 from 243 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 34

Let's proceed to step 4:
The number 34 fits into 53 1 times, leaving a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 171.0
Deduct 34 from 53 and we're left with 19.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 34

Moving on to step 5:
197 divided by 34 is 5 with a remainder of 27.
The next digit of our result is 5. 
Result so far: 1715.0
Subtracting 170 from 197 leaves us with 27.
Bring next digit (8) of the dividend behind the 27 and repeat the process: 278 / 34

Going ahead to step 6:
34 goes into 278 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 17158.0
If we take 272 away from 278, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
If we divide 60 by 34, we get 1 and a remainder of 26.
The next digit of our result is 1. 
Result so far: 17158.1
If we subtract 34 from 60, 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.

On to step 8:
If we divide 260 by 34, we get 7 and a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 17158.17
Subtract 238 from 260 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
34 can be fit into 220 6 times, resulting in a remainder of 16.
The next digit of our result is 6. 
Result so far: 17158.176
The remainder is 16 after subtracting 204 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
The number 34 fits into 160 4 times, leaving a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 17158.1764
Deduct 136 from 160 and we're left with 24.
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 11:
34 goes into 240 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 17158.17647
The remainder is 2 after subtracting 238 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
If we divide 20 by 34, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 17158.17647
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
34 can be fit into 200 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 17158.1764705
Deduct 170 from 200 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 14:
34 can be fit into 300 8 times, resulting in a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 17158.17647058
Deduct 272 from 300 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 17158.17647058, and the remainder is 2.8e-08.