705829 ÷ 19 
We're looking to find how many times 19 goes into 705829.

Going ahead to step 1:
7 divided by 19 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 19

Moving on to step 2:
19 goes into 70 3 times with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 57 from 70 leaves us with 13.
Fetch the next digit (5) from the dividend, attach it to 13 and continue: 135 / 19

Step 3:
19 goes into 135 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
Subtract 133 from 135 to get 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 19

On to step 4:
If we divide 28 by 19, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 371.0
If we take 19 away from 28, we end up with 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 19

Moving on to step 5:
92 divided by 19 is 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 3714.0
Subtracting 76 from 92 leaves us with 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 19

Going ahead to step 6:
The number 19 fits into 169 8 times, leaving a remainder of 17.
The next digit of our result is 8. 
Result so far: 37148.0
Deduct 152 from 169 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
170 divided by 19 is 8 with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 37148.8
Deduct 152 from 170 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
When dividing 180 by 19, we get 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 37148.89
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
90 divided by 19 is 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 37148.894
Subtracting 76 from 90 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 10:
140 divided by 19 is 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 37148.8947
Subtract 133 from 140 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
When dividing 70 by 19, we get 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 37148.89473
If we subtract 57 from 70, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 12:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 37148.894736
Subtracting 114 from 130 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.

Step 13:
When dividing 160 by 19, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 37148.8947368
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 37148.89473684
Subtract 76 from 80 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 37148.89473684 with a remaining 4e-09.