40516101 divided by 688 
The aim is to understand the frequency of 688 in 40516101.

On to step 1:
4 divided by 688 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 688

Advancing to step 2:
The number 688 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 40 leaves us with 40.
Grab the next digit (5) from the dividend, add it to 40, then carry on: 405 / 688

Going ahead to step 3:
688 can be fit into 405 0 times, resulting in a remainder of 405.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 405, we end up with 405.
Bring next digit (1) of the dividend behind the 405 and repeat the process: 4051 / 688

Going ahead to step 4:
The number 688 fits into 4051 5 times, leaving a remainder of 611.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 3440 from 4051, we get 611.
Take the next digit (6) from the dividend and append it to 611, then repeat: 6116 / 688

Step 5:
When dividing 6116 by 688, we get 8 with a remainder of 612.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
If we take 5504 away from 6116, we end up with 612.
Grab the next digit (1) from the dividend, add it to 612, then carry on: 6121 / 688

Advancing to step 6:
6121 divided by 688 is 8 with a remainder of 617.
Put 8 as the next digit of the answer. 
Result so far: 588.0
Subtracting 5504 from 6121 leaves us with 617.
Grab the next digit (0) from the dividend, add it to 617, then carry on: 6170 / 688

Step 7:
688 can be fit into 6170 8 times, resulting in a remainder of 666.
Record the quotient 8 as the next digit in the result. 
Result so far: 5888.0
If we subtract 5504 from 6170, we get 666.
Take the next digit (1) from the dividend and append it to 666, then repeat: 6661 / 688

Moving on to step 8:
688 can be fit into 6661 9 times, resulting in a remainder of 469.
The number 9 becomes the next digit in our result. 
Result so far: 58889.0
If we subtract 6192 from 6661, we get 469.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4690, and continue the process.

On to step 9:
4690 divided by 688 is 6 with a remainder of 562.
Use 6 as the next digit of our solution. 
Result so far: 58889.6
Subtract 4128 from 4690 to get 562.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Step 10:
5620 divided by 688 is 8 with a remainder of 116.
The next digit of our result is 8. 
Result so far: 58889.68
Deduct 5504 from 5620 and we're left with 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Advancing to step 11:
688 goes into 1160 1 times with a remainder of 472.
Record the quotient 1 as the next digit in the result. 
Result so far: 58889.681
Subtracting 688 from 1160 leaves us with 472.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4720, and continue the process.

On to step 12:
The number 688 fits into 4720 6 times, leaving a remainder of 592.
Put 6 as the next digit of the answer. 
Result so far: 58889.6816
Subtract 4128 from 4720 to get 592.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5920, and continue the process.

Step 13:
688 can be fit into 5920 8 times, resulting in a remainder of 416.
Write down 8 as next digit of the result. 
Result so far: 58889.68168
The remainder is 416 after subtracting 5504 from 5920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

Going ahead to step 14:
688 can be fit into 4160 6 times, resulting in a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 58889.681686
If we subtract 4128 from 4160, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 15:
688 can be fit into 320 0 times, resulting in a remainder of 320.
Put 0 as the next digit of the answer. 
Result so far: 58889.681686
The remainder is 320 after subtracting 0 from 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 16:
688 can be fit into 3200 4 times, resulting in a remainder of 448.
The number 4 becomes the next digit in our result. 
Result so far: 58889.68168604
Deduct 2752 from 3200 and we're left with 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

The final result is 58889.68168604 with a remainder of 4.48e-07.