71686390 ÷ 659 
Our goal is to divide 71686390 by 659.

Advancing to step 1:
659 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 659

Step 2:
When dividing 71 by 659, we get 0 with a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Grab the next digit (6) from the dividend, add it to 71, then carry on: 716 / 659

Moving on to step 3:
716 divided by 659 is 1 with a remainder of 57.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 659 from 716 to get 57.
Take the next digit (8) from the dividend and append it to 57, then repeat: 578 / 659

Going ahead to step 4:
The number 659 fits into 578 0 times, leaving a remainder of 578.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 578 and we're left with 578.
Take the next digit (6) from the dividend and append it to 578, then repeat: 5786 / 659

Let's proceed to step 5:
If we divide 5786 by 659, we get 8 and a remainder of 514.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
Deduct 5272 from 5786 and we're left with 514.
Fetch the next digit (3) from the dividend, attach it to 514 and continue: 5143 / 659

Step 6:
The number 659 fits into 5143 7 times, leaving a remainder of 530.
Record the quotient 7 as the next digit in the result. 
Result so far: 1087.0
Subtract 4613 from 5143 to get 530.
Fetch the next digit (9) from the dividend, attach it to 530 and continue: 5309 / 659

Let's proceed to step 7:
When dividing 5309 by 659, we get 8 with a remainder of 37.
The number 8 becomes the next digit in our result. 
Result so far: 10878.0
If we take 5272 away from 5309, we end up with 37.
Append the next digit (0) from the dividend to 37 and continue with: 370 / 659

Moving on to step 8:
When dividing 370 by 659, we get 0 with a remainder of 370.
Record the quotient 0 as the next digit in the result. 
Result so far: 108780.0
Subtract 0 from 370 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.

Step 9:
659 can be fit into 3700 5 times, resulting in a remainder of 405.
The next digit of our result is 5. 
Result so far: 108780.5
Deduct 3295 from 3700 and we're left with 405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

Step 10:
If we divide 4050 by 659, we get 6 and a remainder of 96.
The next digit of our result is 6. 
Result so far: 108780.56
If we take 3954 away from 4050, we end up with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Step 11:
960 divided by 659 is 1 with a remainder of 301.
The number 1 becomes the next digit in our result. 
Result so far: 108780.561
If we subtract 659 from 960, we get 301.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3010, and continue the process.

Moving on to step 12:
When dividing 3010 by 659, we get 4 with a remainder of 374.
Use 4 as the next digit of our solution. 
Result so far: 108780.5614
If we subtract 2636 from 3010, we get 374.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3740, and continue the process.

Moving on to step 13:
When dividing 3740 by 659, we get 5 with a remainder of 445.
The number 5 becomes the next digit in our result. 
Result so far: 108780.56145
The remainder is 445 after subtracting 3295 from 3740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4450, and continue the process.

Moving on to step 14:
659 can be fit into 4450 6 times, resulting in a remainder of 496.
Record the quotient 6 as the next digit in the result. 
Result so far: 108780.561456
Subtract 3954 from 4450 to get 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Going ahead to step 15:
659 can be fit into 4960 7 times, resulting in a remainder of 347.
Write down 7 as next digit of the result. 
Result so far: 108780.5614567
Deduct 4613 from 4960 and we're left with 347.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3470, and continue the process.

Step 16:
If we divide 3470 by 659, we get 5 and a remainder of 175.
The next digit of our result is 5. 
Result so far: 108780.56145675
If we subtract 3295 from 3470, we get 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

Our division results in 108780.56145675 with a remaining 1.75e-07.