13451697 ÷ 782 
We're looking to find how many times 782 goes into 13451697.

Let's proceed to step 1:
1 divided by 782 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 782

Moving on to step 2:
The number 782 fits into 13 0 times, leaving a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 782

Step 3:
782 goes into 134 0 times with a remainder of 134.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 134, we get 134.
Fetch the next digit (5) from the dividend, attach it to 134 and continue: 1345 / 782

On to step 4:
782 can be fit into 1345 1 times, resulting in a remainder of 563.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 782 from 1345 leaves us with 563.
Append the next digit (1) from the dividend to 563 and continue with: 5631 / 782

On to step 5:
782 goes into 5631 7 times with a remainder of 157.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we subtract 5474 from 5631, we get 157.
Grab the next digit (6) from the dividend, add it to 157, then carry on: 1576 / 782

On to step 6:
The number 782 fits into 1576 2 times, leaving a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 172.0
If we take 1564 away from 1576, we end up with 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 782

On to step 7:
When dividing 129 by 782, we get 0 with a remainder of 129.
Put 0 as the next digit of the answer. 
Result so far: 1720.0
Deduct 0 from 129 and we're left with 129.
Bring next digit (7) of the dividend behind the 129 and repeat the process: 1297 / 782

Let's proceed to step 8:
The number 782 fits into 1297 1 times, leaving a remainder of 515.
Use 1 as the next digit of our solution. 
Result so far: 17201.0
The remainder is 515 after subtracting 782 from 1297.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5150, and continue the process.

Let's proceed to step 9:
782 goes into 5150 6 times with a remainder of 458.
The next digit of our result is 6. 
Result so far: 17201.6
If we take 4692 away from 5150, we end up with 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

Step 10:
The number 782 fits into 4580 5 times, leaving a remainder of 670.
Write down 5 as next digit of the result. 
Result so far: 17201.65
If we take 3910 away from 4580, we end up with 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6700, and continue the process.

Advancing to step 11:
782 can be fit into 6700 8 times, resulting in a remainder of 444.
The next digit of our result is 8. 
Result so far: 17201.658
Deduct 6256 from 6700 and we're left with 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Going ahead to step 12:
When dividing 4440 by 782, we get 5 with a remainder of 530.
Use 5 as the next digit of our solution. 
Result so far: 17201.6585
Subtracting 3910 from 4440 leaves us with 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5300, and continue the process.

Advancing to step 13:
782 can be fit into 5300 6 times, resulting in a remainder of 608.
Put 6 as the next digit of the answer. 
Result so far: 17201.65856
The remainder is 608 after subtracting 4692 from 5300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

Let's proceed to step 14:
6080 divided by 782 is 7 with a remainder of 606.
The next digit of our result is 7. 
Result so far: 17201.658567
Subtracting 5474 from 6080 leaves us with 606.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6060, and continue the process.

Advancing to step 15:
When dividing 6060 by 782, we get 7 with a remainder of 586.
Write down 7 as next digit of the result. 
Result so far: 17201.6585677
The remainder is 586 after subtracting 5474 from 6060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5860, and continue the process.

The final result is 17201.6585677 with a remainder of 5.86e-06.