We're dividing 71198465 by 635 
We want to divide 71198465 by 635.

Going ahead to step 1:
If we divide 7 by 635, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 635

Step 2:
When dividing 71 by 635, we get 0 with a remainder of 71.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Take the next digit (1) from the dividend and append it to 71, then repeat: 711 / 635

Moving on to step 3:
The number 635 fits into 711 1 times, leaving a remainder of 76.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 635 away from 711, we end up with 76.
Fetch the next digit (9) from the dividend, attach it to 76 and continue: 769 / 635

Step 4:
When dividing 769 by 635, we get 1 with a remainder of 134.
The next digit of our result is 1. 
Result so far: 11.0
If we take 635 away from 769, we end up with 134.
Fetch the next digit (8) from the dividend, attach it to 134 and continue: 1348 / 635

Advancing to step 5:
The number 635 fits into 1348 2 times, leaving a remainder of 78.
Put 2 as the next digit of the answer. 
Result so far: 112.0
Subtracting 1270 from 1348 leaves us with 78.
Bring next digit (4) of the dividend behind the 78 and repeat the process: 784 / 635

Step 6:
When dividing 784 by 635, we get 1 with a remainder of 149.
Use 1 as the next digit of our solution. 
Result so far: 1121.0
Subtract 635 from 784 to get 149.
Grab the next digit (6) from the dividend, add it to 149, then carry on: 1496 / 635

Let's proceed to step 7:
1496 divided by 635 is 2 with a remainder of 226.
Put 2 as the next digit of the answer. 
Result so far: 11212.0
The remainder is 226 after subtracting 1270 from 1496.
Bring next digit (5) of the dividend behind the 226 and repeat the process: 2265 / 635

Let's proceed to step 8:
2265 divided by 635 is 3 with a remainder of 360.
Write down 3 as next digit of the result. 
Result so far: 112123.0
The remainder is 360 after subtracting 1905 from 2265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Step 9:
The number 635 fits into 3600 5 times, leaving a remainder of 425.
The next digit of our result is 5. 
Result so far: 112123.5
If we subtract 3175 from 3600, we get 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4250, and continue the process.

Moving on to step 10:
If we divide 4250 by 635, we get 6 and a remainder of 440.
Use 6 as the next digit of our solution. 
Result so far: 112123.56
Subtracting 3810 from 4250 leaves us with 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Advancing to step 11:
When dividing 4400 by 635, we get 6 with a remainder of 590.
Put 6 as the next digit of the answer. 
Result so far: 112123.566
If we take 3810 away from 4400, we end up with 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5900, and continue the process.

The final result is 112123.566 with a remainder of 0.059.