We're dividing 87638417 by 705 
We're looking to find how many times 705 goes into 87638417.

Let's proceed to step 1:
When dividing 8 by 705, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 705

Moving on to step 2:
87 divided by 705 is 0 with a remainder of 87.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 87, we get 87.
Bring next digit (6) of the dividend behind the 87 and repeat the process: 876 / 705

Let's proceed to step 3:
The number 705 fits into 876 1 times, leaving a remainder of 171.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 171 after subtracting 705 from 876.
Append the next digit (3) from the dividend to 171 and continue with: 1713 / 705

Advancing to step 4:
705 can be fit into 1713 2 times, resulting in a remainder of 303.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtracting 1410 from 1713 leaves us with 303.
Fetch the next digit (8) from the dividend, attach it to 303 and continue: 3038 / 705

On to step 5:
705 can be fit into 3038 4 times, resulting in a remainder of 218.
The number 4 becomes the next digit in our result. 
Result so far: 124.0
The remainder is 218 after subtracting 2820 from 3038.
Fetch the next digit (4) from the dividend, attach it to 218 and continue: 2184 / 705

On to step 6:
705 can be fit into 2184 3 times, resulting in a remainder of 69.
Record the quotient 3 as the next digit in the result. 
Result so far: 1243.0
If we take 2115 away from 2184, we end up with 69.
Grab the next digit (1) from the dividend, add it to 69, then carry on: 691 / 705

Let's proceed to step 7:
The number 705 fits into 691 0 times, leaving a remainder of 691.
The number 0 becomes the next digit in our result. 
Result so far: 12430.0
Deduct 0 from 691 and we're left with 691.
Append the next digit (7) from the dividend to 691 and continue with: 6917 / 705

Advancing to step 8:
When dividing 6917 by 705, we get 9 with a remainder of 572.
The next digit of our result is 9. 
Result so far: 124309.0
The remainder is 572 after subtracting 6345 from 6917.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5720, and continue the process.

Moving on to step 9:
When dividing 5720 by 705, we get 8 with a remainder of 80.
Record the quotient 8 as the next digit in the result. 
Result so far: 124309.8
If we take 5640 away from 5720, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 10:
When dividing 800 by 705, we get 1 with a remainder of 95.
Write down 1 as next digit of the result. 
Result so far: 124309.81
If we take 705 away from 800, we end up with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

On to step 11:
When dividing 950 by 705, we get 1 with a remainder of 245.
Put 1 as the next digit of the answer. 
Result so far: 124309.811
Deduct 705 from 950 and we're left with 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2450, and continue the process.

In conclusion, the division gives 124309.811 with a balance of 0.0245.