10310122 divided by 781 
The aim is to understand the frequency of 781 in 10310122.

Going ahead to step 1:
781 goes into 1 0 times 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.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 781

Step 2:
781 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 781

Going ahead to step 3:
781 can be fit into 103 0 times, resulting in a remainder of 103.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 103 and we're left with 103.
Append the next digit (1) from the dividend to 103 and continue with: 1031 / 781

Advancing to step 4:
The number 781 fits into 1031 1 times, leaving a remainder of 250.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 781 from 1031 to get 250.
Bring next digit (0) of the dividend behind the 250 and repeat the process: 2500 / 781

Advancing to step 5:
781 can be fit into 2500 3 times, resulting in a remainder of 157.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we take 2343 away from 2500, we end up with 157.
Bring next digit (1) of the dividend behind the 157 and repeat the process: 1571 / 781

Let's proceed to step 6:
781 goes into 1571 2 times with a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 132.0
Subtract 1562 from 1571 to get 9.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 781

Moving on to step 7:
If we divide 92 by 781, we get 0 and a remainder of 92.
The number 0 becomes the next digit in our result. 
Result so far: 1320.0
The remainder is 92 after subtracting 0 from 92.
Append the next digit (2) from the dividend to 92 and continue with: 922 / 781

On to step 8:
When dividing 922 by 781, we get 1 with a remainder of 141.
Write down 1 as next digit of the result. 
Result so far: 13201.0
Subtract 781 from 922 to get 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

Going ahead to step 9:
1410 divided by 781 is 1 with a remainder of 629.
Record the quotient 1 as the next digit in the result. 
Result so far: 13201.1
If we subtract 781 from 1410, we get 629.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6290, and continue the process.

Step 10:
781 can be fit into 6290 8 times, resulting in a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 13201.18
Subtracting 6248 from 6290 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 11:
781 can be fit into 420 0 times, resulting in a remainder of 420.
Record the quotient 0 as the next digit in the result. 
Result so far: 13201.18
The remainder is 420 after subtracting 0 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Advancing to step 12:
If we divide 4200 by 781, we get 5 and a remainder of 295.
Use 5 as the next digit of our solution. 
Result so far: 13201.1805
Subtract 3905 from 4200 to get 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

Step 13:
When dividing 2950 by 781, we get 3 with a remainder of 607.
Write down 3 as next digit of the result. 
Result so far: 13201.18053
Subtract 2343 from 2950 to get 607.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6070, and continue the process.

On to step 14:
781 can be fit into 6070 7 times, resulting in a remainder of 603.
Record the quotient 7 as the next digit in the result. 
Result so far: 13201.180537
If we subtract 5467 from 6070, we get 603.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6030, and continue the process.

Moving on to step 15:
The number 781 fits into 6030 7 times, leaving a remainder of 563.
The number 7 becomes the next digit in our result. 
Result so far: 13201.1805377
Subtracting 5467 from 6030 leaves us with 563.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5630, and continue the process.

In conclusion, the division gives 13201.1805377 with a balance of 5.63e-06.