We look at the division of 100641 by 69 
We want to figure out the number of times 100641 can be divided by 69.

Moving on to step 1:
1 divided by 69 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 69

Advancing to step 2:
The number 69 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 69

On to step 3:
69 can be fit into 100 1 times, resulting in a remainder of 31.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 69 from 100 to get 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 69

Let's proceed to step 4:
If we divide 316 by 69, we get 4 and a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtract 276 from 316 to get 40.
Bring next digit (4) of the dividend behind the 40 and repeat the process: 404 / 69

Going ahead to step 5:
If we divide 404 by 69, we get 5 and a remainder of 59.
Put 5 as the next digit of the answer. 
Result so far: 145.0
Deduct 345 from 404 and we're left with 59.
Fetch the next digit (1) from the dividend, attach it to 59 and continue: 591 / 69

Advancing to step 6:
The number 69 fits into 591 8 times, leaving a remainder of 39.
The number 8 becomes the next digit in our result. 
Result so far: 1458.0
If we subtract 552 from 591, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 7:
69 goes into 390 5 times with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 1458.5
Deduct 345 from 390 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
The number 69 fits into 450 6 times, leaving a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 1458.56
Deduct 414 from 450 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 9:
360 divided by 69 is 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 1458.565
The remainder is 15 after subtracting 345 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
When dividing 150 by 69, we get 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 1458.5652
Subtract 138 from 150 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
69 goes into 120 1 times with a remainder of 51.
Put 1 as the next digit of the answer. 
Result so far: 1458.56521
If we subtract 69 from 120, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 12:
If we divide 510 by 69, we get 7 and a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 1458.565217
If we subtract 483 from 510, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 13:
When dividing 270 by 69, we get 3 with a remainder of 63.
Record the quotient 3 as the next digit in the result. 
Result so far: 1458.5652173
If we subtract 207 from 270, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 14:
If we divide 630 by 69, we get 9 and a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 1458.56521739
Subtracting 621 from 630 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 1458.56521739 with a remainder of 9e-09.