13783711 ÷ 645 
Our goal is to divide 13783711 by 645.

On to step 1:
645 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 645

Moving on to step 2:
When dividing 13 by 645, we get 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 645

Advancing to step 3:
137 divided by 645 is 0 with a remainder of 137.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 137 after subtracting 0 from 137.
Grab the next digit (8) from the dividend, add it to 137, then carry on: 1378 / 645

Let's proceed to step 4:
The number 645 fits into 1378 2 times, leaving a remainder of 88.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 1290 from 1378 leaves us with 88.
Grab the next digit (3) from the dividend, add it to 88, then carry on: 883 / 645

On to step 5:
645 can be fit into 883 1 times, resulting in a remainder of 238.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
Subtracting 645 from 883 leaves us with 238.
Bring next digit (7) of the dividend behind the 238 and repeat the process: 2387 / 645

On to step 6:
The number 645 fits into 2387 3 times, leaving a remainder of 452.
Record the quotient 3 as the next digit in the result. 
Result so far: 213.0
Subtract 1935 from 2387 to get 452.
Take the next digit (1) from the dividend and append it to 452, then repeat: 4521 / 645

On to step 7:
The number 645 fits into 4521 7 times, leaving a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 2137.0
If we subtract 4515 from 4521, we get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 645

Let's proceed to step 8:
645 can be fit into 61 0 times, resulting in a remainder of 61.
Put 0 as the next digit of the answer. 
Result so far: 21370.0
If we subtract 0 from 61, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 9:
645 can be fit into 610 0 times, resulting in a remainder of 610.
Write down 0 as next digit of the result. 
Result so far: 21370.0
Deduct 0 from 610 and we're left with 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6100, and continue the process.

On to step 10:
The number 645 fits into 6100 9 times, leaving a remainder of 295.
Record the quotient 9 as the next digit in the result. 
Result so far: 21370.09
Deduct 5805 from 6100 and we're left with 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

Going ahead to step 11:
645 can be fit into 2950 4 times, resulting in a remainder of 370.
Put 4 as the next digit of the answer. 
Result so far: 21370.094
Subtract 2580 from 2950 to get 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Advancing to step 12:
If we divide 3700 by 645, we get 5 and a remainder of 475.
Put 5 as the next digit of the answer. 
Result so far: 21370.0945
Subtracting 3225 from 3700 leaves us with 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Going ahead to step 13:
If we divide 4750 by 645, we get 7 and a remainder of 235.
Use 7 as the next digit of our solution. 
Result so far: 21370.09457
The remainder is 235 after subtracting 4515 from 4750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2350, and continue the process.

Step 14:
When dividing 2350 by 645, we get 3 with a remainder of 415.
Write down 3 as next digit of the result. 
Result so far: 21370.094573
Subtracting 1935 from 2350 leaves us with 415.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4150, and continue the process.

Moving on to step 15:
When dividing 4150 by 645, we get 6 with a remainder of 280.
The number 6 becomes the next digit in our result. 
Result so far: 21370.0945736
Subtract 3870 from 4150 to get 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Moving on to step 16:
If we divide 2800 by 645, we get 4 and a remainder of 220.
Put 4 as the next digit of the answer. 
Result so far: 21370.09457364
Deduct 2580 from 2800 and we're left with 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

In conclusion, the division gives 21370.09457364 with a balance of 2.2e-07.