105664 divided by 69 
We're looking to find how many times 69 goes into 105664.

Advancing to step 1:
69 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 69

Moving on to step 2:
If we divide 10 by 69, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 69

Let's proceed to step 3:
If we divide 105 by 69, we get 1 and a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 36 after subtracting 69 from 105.
Bring next digit (6) of the dividend behind the 36 and repeat the process: 366 / 69

Going ahead to step 4:
69 goes into 366 5 times with a remainder of 21.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 345 from 366 and we're left with 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 69

Moving on to step 5:
216 divided by 69 is 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 153.0
Deduct 207 from 216 and we're left with 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 69

Step 6:
94 divided by 69 is 1 with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 1531.0
The remainder is 25 after subtracting 69 from 94.
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 7:
69 can be fit into 250 3 times, resulting in a remainder of 43.
The number 3 becomes the next digit in our result. 
Result so far: 1531.3
Subtract 207 from 250 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 8:
430 divided by 69 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 1531.36
The remainder is 16 after subtracting 414 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
The number 69 fits into 160 2 times, leaving a remainder of 22.
The next digit of our result is 2. 
Result so far: 1531.362
If we subtract 138 from 160, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 10:
When dividing 220 by 69, we get 3 with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 1531.3623
Deduct 207 from 220 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 11:
130 divided by 69 is 1 with a remainder of 61.
The number 1 becomes the next digit in our result. 
Result so far: 1531.36231
Deduct 69 from 130 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 12:
If we divide 610 by 69, we get 8 and a remainder of 58.
The next digit of our result is 8. 
Result so far: 1531.362318
Subtract 552 from 610 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 13:
580 divided by 69 is 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 1531.3623188
Deduct 552 from 580 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final outcome is 1531.3623188, with a leftover of 2.8e-07.