105121 ÷ 69 
We want to figure out the number of times 105121 can be divided by 69.

Advancing to step 1:
If we divide 1 by 69, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 69

Let's proceed to step 2:
69 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 69

Moving on to step 3:
The number 69 fits into 105 1 times, leaving a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 69 from 105 and we're left with 36.
Grab the next digit (1) from the dividend, add it to 36, then carry on: 361 / 69

Moving on to step 4:
If we divide 361 by 69, we get 5 and a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 345 away from 361, we end up with 16.
Include the next digit (2) from the dividend after 16, then repeat: 162 / 69

Advancing to step 5:
69 can be fit into 162 2 times, resulting in a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 152.0
The remainder is 24 after subtracting 138 from 162.
Fetch the next digit (1) from the dividend, attach it to 24 and continue: 241 / 69

Advancing to step 6:
When dividing 241 by 69, we get 3 with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 1523.0
Deduct 207 from 241 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
340 divided by 69 is 4 with a remainder of 64.
The next digit of our result is 4. 
Result so far: 1523.4
The remainder is 64 after subtracting 276 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 8:
When dividing 640 by 69, we get 9 with a remainder of 19.
Put 9 as the next digit of the answer. 
Result so far: 1523.49
If we take 621 away from 640, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 9:
The number 69 fits into 190 2 times, leaving a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 1523.492
If we take 138 away from 190, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 10:
520 divided by 69 is 7 with a remainder of 37.
The next digit of our result is 7. 
Result so far: 1523.4927
Subtract 483 from 520 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 11:
69 goes into 370 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 1523.49275
If we subtract 345 from 370, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
The number 69 fits into 250 3 times, leaving a remainder of 43.
Record the quotient 3 as the next digit in the result. 
Result so far: 1523.492753
If we take 207 away from 250, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 13:
430 divided by 69 is 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 1523.4927536
Subtracting 414 from 430 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 14:
69 goes into 160 2 times with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 1523.49275362
Subtracting 138 from 160 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 1523.49275362 with a remaining 2.2e-08.