51142097 ÷ 961 
The aim is to understand the frequency of 961 in 51142097.

Advancing to step 1:
When dividing 5 by 961, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 961

Moving on to step 2:
51 divided by 961 is 0 with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Take the next digit (1) from the dividend and append it to 51, then repeat: 511 / 961

Going ahead to step 3:
961 can be fit into 511 0 times, resulting in a remainder of 511.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 511 and we're left with 511.
Take the next digit (4) from the dividend and append it to 511, then repeat: 5114 / 961

Let's proceed to step 4:
5114 divided by 961 is 5 with a remainder of 309.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 4805 from 5114 to get 309.
Take the next digit (2) from the dividend and append it to 309, then repeat: 3092 / 961

Advancing to step 5:
961 goes into 3092 3 times with a remainder of 209.
The next digit of our result is 3. 
Result so far: 53.0
Deduct 2883 from 3092 and we're left with 209.
Take the next digit (0) from the dividend and append it to 209, then repeat: 2090 / 961

Advancing to step 6:
961 goes into 2090 2 times with a remainder of 168.
Put 2 as the next digit of the answer. 
Result so far: 532.0
Deduct 1922 from 2090 and we're left with 168.
Grab the next digit (9) from the dividend, add it to 168, then carry on: 1689 / 961

Moving on to step 7:
The number 961 fits into 1689 1 times, leaving a remainder of 728.
The number 1 becomes the next digit in our result. 
Result so far: 5321.0
Subtract 961 from 1689 to get 728.
Fetch the next digit (7) from the dividend, attach it to 728 and continue: 7287 / 961

Let's proceed to step 8:
If we divide 7287 by 961, we get 7 and a remainder of 560.
The number 7 becomes the next digit in our result. 
Result so far: 53217.0
If we take 6727 away from 7287, we end up 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.

Going ahead to step 9:
961 can be fit into 5600 5 times, resulting in a remainder of 795.
Write down 5 as next digit of the result. 
Result so far: 53217.5
If we take 4805 away from 5600, we end up with 795.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7950, and continue the process.

Going ahead to step 10:
7950 divided by 961 is 8 with a remainder of 262.
Record the quotient 8 as the next digit in the result. 
Result so far: 53217.58
If we take 7688 away from 7950, we end up with 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

Advancing to step 11:
When dividing 2620 by 961, we get 2 with a remainder of 698.
The next digit of our result is 2. 
Result so far: 53217.582
If we take 1922 away from 2620, we end up with 698.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6980, and continue the process.

Going ahead to step 12:
6980 divided by 961 is 7 with a remainder of 253.
Record the quotient 7 as the next digit in the result. 
Result so far: 53217.5827
Subtract 6727 from 6980 to get 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Going ahead to step 13:
The number 961 fits into 2530 2 times, leaving a remainder of 608.
Use 2 as the next digit of our solution. 
Result so far: 53217.58272
If we take 1922 away from 2530, we end up with 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

Step 14:
If we divide 6080 by 961, we get 6 and a remainder of 314.
Put 6 as the next digit of the answer. 
Result so far: 53217.582726
If we take 5766 away from 6080, we end up with 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

On to step 15:
961 can be fit into 3140 3 times, resulting in a remainder of 257.
The number 3 becomes the next digit in our result. 
Result so far: 53217.5827263
The remainder is 257 after subtracting 2883 from 3140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2570, and continue the process.

Let's proceed to step 16:
2570 divided by 961 is 2 with a remainder of 648.
The next digit of our result is 2. 
Result so far: 53217.58272632
If we subtract 1922 from 2570, we get 648.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6480, and continue the process.

The quotient of the division is 53217.58272632, and the remainder is 6.48e-07.