71111667 divided by 658 
We want to figure out the number of times 71111667 can be divided by 658.

Step 1:
658 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 658

Step 2:
658 can be fit into 71 0 times, resulting in a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Include the next digit (1) from the dividend after 71, then repeat: 711 / 658

On to step 3:
If we divide 711 by 658, we get 1 and a remainder of 53.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 53 after subtracting 658 from 711.
Include the next digit (1) from the dividend after 53, then repeat: 531 / 658

Advancing to step 4:
When dividing 531 by 658, we get 0 with a remainder of 531.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 531 and we're left with 531.
Grab the next digit (1) from the dividend, add it to 531, then carry on: 5311 / 658

Going ahead to step 5:
The number 658 fits into 5311 8 times, leaving a remainder of 47.
Use 8 as the next digit of our solution. 
Result so far: 108.0
If we subtract 5264 from 5311, we get 47.
Append the next digit (6) from the dividend to 47 and continue with: 476 / 658

Let's proceed to step 6:
476 divided by 658 is 0 with a remainder of 476.
Use 0 as the next digit of our solution. 
Result so far: 1080.0
Subtract 0 from 476 to get 476.
Bring next digit (6) of the dividend behind the 476 and repeat the process: 4766 / 658

Let's proceed to step 7:
658 can be fit into 4766 7 times, resulting in a remainder of 160.
Write down 7 as next digit of the result. 
Result so far: 10807.0
If we subtract 4606 from 4766, we get 160.
Append the next digit (7) from the dividend to 160 and continue with: 1607 / 658

Step 8:
The number 658 fits into 1607 2 times, leaving a remainder of 291.
Put 2 as the next digit of the answer. 
Result so far: 108072.0
Subtract 1316 from 1607 to get 291.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2910, and continue the process.

Advancing to step 9:
When dividing 2910 by 658, we get 4 with a remainder of 278.
Put 4 as the next digit of the answer. 
Result so far: 108072.4
Subtracting 2632 from 2910 leaves us with 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

Step 10:
658 can be fit into 2780 4 times, resulting in a remainder of 148.
Write down 4 as next digit of the result. 
Result so far: 108072.44
The remainder is 148 after subtracting 2632 from 2780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

After the division, we end up with 108072.44 and a remainder of 0.148.