41015307 ÷ 688 
We're looking to find how many times 688 goes into 41015307.

On to step 1:
688 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 688

On to step 2:
When dividing 41 by 688, we get 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Append the next digit (0) from the dividend to 41 and continue with: 410 / 688

Going ahead to step 3:
When dividing 410 by 688, we get 0 with a remainder of 410.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 410 and we're left with 410.
Fetch the next digit (1) from the dividend, attach it to 410 and continue: 4101 / 688

Advancing to step 4:
The number 688 fits into 4101 5 times, leaving a remainder of 661.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 3440 from 4101 and we're left with 661.
Append the next digit (5) from the dividend to 661 and continue with: 6615 / 688

Advancing to step 5:
If we divide 6615 by 688, we get 9 and a remainder of 423.
Write down 9 as next digit of the result. 
Result so far: 59.0
Deduct 6192 from 6615 and we're left with 423.
Bring next digit (3) of the dividend behind the 423 and repeat the process: 4233 / 688

Let's proceed to step 6:
When dividing 4233 by 688, we get 6 with a remainder of 105.
Use 6 as the next digit of our solution. 
Result so far: 596.0
The remainder is 105 after subtracting 4128 from 4233.
Take the next digit (0) from the dividend and append it to 105, then repeat: 1050 / 688

Step 7:
688 can be fit into 1050 1 times, resulting in a remainder of 362.
Record the quotient 1 as the next digit in the result. 
Result so far: 5961.0
If we subtract 688 from 1050, we get 362.
Bring next digit (7) of the dividend behind the 362 and repeat the process: 3627 / 688

Advancing to step 8:
688 goes into 3627 5 times with a remainder of 187.
Put 5 as the next digit of the answer. 
Result so far: 59615.0
Subtracting 3440 from 3627 leaves us with 187.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1870, and continue the process.

Step 9:
The number 688 fits into 1870 2 times, leaving a remainder of 494.
The number 2 becomes the next digit in our result. 
Result so far: 59615.2
Deduct 1376 from 1870 and we're left with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

Advancing to step 10:
688 can be fit into 4940 7 times, resulting in a remainder of 124.
Put 7 as the next digit of the answer. 
Result so far: 59615.27
Deduct 4816 from 4940 and we're left with 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Going ahead to step 11:
688 goes into 1240 1 times with a remainder of 552.
Write down 1 as next digit of the result. 
Result so far: 59615.271
Subtract 688 from 1240 to get 552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

On to step 12:
If we divide 5520 by 688, we get 8 and a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 59615.2718
If we take 5504 away from 5520, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 13:
160 divided by 688 is 0 with a remainder of 160.
The number 0 becomes the next digit in our result. 
Result so far: 59615.2718
If we subtract 0 from 160, we get 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Advancing to step 14:
If we divide 1600 by 688, we get 2 and a remainder of 224.
Use 2 as the next digit of our solution. 
Result so far: 59615.271802
Deduct 1376 from 1600 and we're left with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

On to step 15:
2240 divided by 688 is 3 with a remainder of 176.
Put 3 as the next digit of the answer. 
Result so far: 59615.2718023
If we subtract 2064 from 2240, we get 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

On to step 16:
1760 divided by 688 is 2 with a remainder of 384.
Put 2 as the next digit of the answer. 
Result so far: 59615.27180232
The remainder is 384 after subtracting 1376 from 1760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

In conclusion, the division gives 59615.27180232 with a balance of 3.84e-07.