78125714 ÷ 690 
We want to figure out the number of times 78125714 can be divided by 690.

Going ahead to step 1:
If we divide 7 by 690, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 690

Let's proceed to step 2:
If we divide 78 by 690, we get 0 and a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 78 and we're left with 78.
Bring next digit (1) of the dividend behind the 78 and repeat the process: 781 / 690

Step 3:
781 divided by 690 is 1 with a remainder of 91.
The next digit of our result is 1. 
Result so far: 1.0
If we take 690 away from 781, we end up with 91.
Append the next digit (2) from the dividend to 91 and continue with: 912 / 690

Advancing to step 4:
If we divide 912 by 690, we get 1 and a remainder of 222.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 690 from 912 and we're left with 222.
Take the next digit (5) from the dividend and append it to 222, then repeat: 2225 / 690

Let's proceed to step 5:
2225 divided by 690 is 3 with a remainder of 155.
Write down 3 as next digit of the result. 
Result so far: 113.0
If we take 2070 away from 2225, we end up with 155.
Grab the next digit (7) from the dividend, add it to 155, then carry on: 1557 / 690

Let's proceed to step 6:
When dividing 1557 by 690, we get 2 with a remainder of 177.
Put 2 as the next digit of the answer. 
Result so far: 1132.0
Deduct 1380 from 1557 and we're left with 177.
Append the next digit (1) from the dividend to 177 and continue with: 1771 / 690

On to step 7:
When dividing 1771 by 690, we get 2 with a remainder of 391.
Put 2 as the next digit of the answer. 
Result so far: 11322.0
Subtracting 1380 from 1771 leaves us with 391.
Take the next digit (4) from the dividend and append it to 391, then repeat: 3914 / 690

Let's proceed to step 8:
690 can be fit into 3914 5 times, resulting in a remainder of 464.
Use 5 as the next digit of our solution. 
Result so far: 113225.0
If we take 3450 away from 3914, we end up with 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Advancing to step 9:
If we divide 4640 by 690, we get 6 and a remainder of 500.
The next digit of our result is 6. 
Result so far: 113225.6
Subtracting 4140 from 4640 leaves us with 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Advancing to step 10:
690 can be fit into 5000 7 times, resulting in a remainder of 170.
Put 7 as the next digit of the answer. 
Result so far: 113225.67
Deduct 4830 from 5000 and we're left with 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Advancing to step 11:
690 goes into 1700 2 times with a remainder of 320.
Write down 2 as next digit of the result. 
Result so far: 113225.672
If we subtract 1380 from 1700, we get 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Moving on to step 12:
690 can be fit into 3200 4 times, resulting in a remainder of 440.
Record the quotient 4 as the next digit in the result. 
Result so far: 113225.6724
Subtracting 2760 from 3200 leaves us with 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Let's proceed to step 13:
The number 690 fits into 4400 6 times, leaving a remainder of 260.
Use 6 as the next digit of our solution. 
Result so far: 113225.67246
Deduct 4140 from 4400 and we're left with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

On to step 14:
The number 690 fits into 2600 3 times, leaving a remainder of 530.
The next digit of our result is 3. 
Result so far: 113225.672463
Deduct 2070 from 2600 and we're left 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.

On to step 15:
690 goes into 5300 7 times with a remainder of 470.
The next digit of our result is 7. 
Result so far: 113225.6724637
If we subtract 4830 from 5300, we get 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

On to step 16:
When dividing 4700 by 690, we get 6 with a remainder of 560.
Use 6 as the next digit of our solution. 
Result so far: 113225.67246376
Deduct 4140 from 4700 and we're left with 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

The final result is 113225.67246376 with a remainder of 5.6e-07.