Let's divide 11637634 by 679
We want to divide 11637634 by 679.

Going ahead to step 1:
The number 679 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 679

On to step 2:
679 can be fit into 11 0 times, resulting in a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 679

Going ahead to step 3:
679 goes into 116 0 times with a remainder of 116.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 116 after subtracting 0 from 116.
Bring next digit (3) of the dividend behind the 116 and repeat the process: 1163 / 679

Let's proceed to step 4:
679 can be fit into 1163 1 times, resulting in a remainder of 484.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 679 from 1163, we get 484.
Grab the next digit (7) from the dividend, add it to 484, then carry on: 4847 / 679

Moving on to step 5:
679 goes into 4847 7 times with a remainder of 94.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
The remainder is 94 after subtracting 4753 from 4847.
Include the next digit (6) from the dividend after 94, then repeat: 946 / 679

Going ahead to step 6:
The number 679 fits into 946 1 times, leaving a remainder of 267.
Use 1 as the next digit of our solution. 
Result so far: 171.0
Subtract 679 from 946 to get 267.
Grab the next digit (3) from the dividend, add it to 267, then carry on: 2673 / 679

Going ahead to step 7:
The number 679 fits into 2673 3 times, leaving a remainder of 636.
Put 3 as the next digit of the answer. 
Result so far: 1713.0
Subtracting 2037 from 2673 leaves us with 636.
Fetch the next digit (4) from the dividend, attach it to 636 and continue: 6364 / 679

Advancing to step 8:
679 can be fit into 6364 9 times, resulting in a remainder of 253.
Write down 9 as next digit of the result. 
Result so far: 17139.0
The remainder is 253 after subtracting 6111 from 6364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

On to step 9:
2530 divided by 679 is 3 with a remainder of 493.
Write down 3 as next digit of the result. 
Result so far: 17139.3
The remainder is 493 after subtracting 2037 from 2530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4930, and continue the process.

Moving on to step 10:
If we divide 4930 by 679, we get 7 and a remainder of 177.
The number 7 becomes the next digit in our result. 
Result so far: 17139.37
The remainder is 177 after subtracting 4753 from 4930.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1770, and continue the process.

Let's proceed to step 11:
When dividing 1770 by 679, we get 2 with a remainder of 412.
Use 2 as the next digit of our solution. 
Result so far: 17139.372
Subtracting 1358 from 1770 leaves us with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Step 12:
4120 divided by 679 is 6 with a remainder of 46.
Put 6 as the next digit of the answer. 
Result so far: 17139.3726
The remainder is 46 after subtracting 4074 from 4120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 13:
679 can be fit into 460 0 times, resulting in a remainder of 460.
The number 0 becomes the next digit in our result. 
Result so far: 17139.3726
Deduct 0 from 460 and we're left with 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Advancing to step 14:
679 goes into 4600 6 times with a remainder of 526.
Write down 6 as next digit of the result. 
Result so far: 17139.372606
The remainder is 526 after subtracting 4074 from 4600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5260, and continue the process.

Advancing to step 15:
679 goes into 5260 7 times with a remainder of 507.
Record the quotient 7 as the next digit in the result. 
Result so far: 17139.3726067
Subtract 4753 from 5260 to get 507.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5070, and continue the process.

Moving on to step 16:
The number 679 fits into 5070 7 times, leaving a remainder of 317.
The next digit of our result is 7. 
Result so far: 17139.37260677
Subtracting 4753 from 5070 leaves us with 317.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3170, and continue the process.

In conclusion, the division gives 17139.37260677 with a balance of 3.17e-07.