782339 ÷ 46 
Our goal is to divide 782339 by 46.

Step 1:
When dividing 7 by 46, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 46

Step 2:
When dividing 78 by 46, we get 1 with a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 46 from 78 and we're left with 32.
Grab the next digit (2) from the dividend, add it to 32, then carry on: 322 / 46

Moving on to step 3:
46 goes into 322 7 times with a remainder of 0.
The next digit of our result is 7. 
Result so far: 17.0
Subtracting 322 from 322 leaves us with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 46

Moving on to step 4:
When dividing 3 by 46, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 170.0
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 / 46

Going ahead to step 5:
33 divided by 46 is 0 with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 1700.0
Deduct 0 from 33 and we're left with 33.
Fetch the next digit (9) from the dividend, attach it to 33 and continue: 339 / 46

Going ahead to step 6:
The number 46 fits into 339 7 times, leaving a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 17007.0
Deduct 322 from 339 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.

Advancing to step 7:
The number 46 fits into 170 3 times, leaving a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 17007.3
Deduct 138 from 170 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 8:
320 divided by 46 is 6 with a remainder of 44.
The next digit of our result is 6. 
Result so far: 17007.36
Deduct 276 from 320 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 9:
46 can be fit into 440 9 times, resulting in a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 17007.369
Subtracting 414 from 440 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 10:
46 can be fit into 260 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 17007.3695
Deduct 230 from 260 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.

Step 11:
The number 46 fits into 300 6 times, leaving a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 17007.36956
If we subtract 276 from 300, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 12:
240 divided by 46 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 17007.369565
Subtract 230 from 240 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
If we divide 100 by 46, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 17007.3695652
Deduct 92 from 100 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
The number 46 fits into 80 1 times, leaving a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 17007.36956521
Subtracting 46 from 80 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.

In conclusion, the division gives 17007.36956521 with a balance of 3.4e-08.