We're dividing 71311101 by 137 
Our goal is to divide 71311101 by 137.

Step 1:
137 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 137

Going ahead to step 2:
The number 137 fits into 71 0 times, leaving a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Bring next digit (3) of the dividend behind the 71 and repeat the process: 713 / 137

Let's proceed to step 3:
713 divided by 137 is 5 with a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 685 away from 713, we end up with 28.
Grab the next digit (1) from the dividend, add it to 28, then carry on: 281 / 137

On to step 4:
137 can be fit into 281 2 times, resulting in a remainder of 7.
The next digit of our result is 2. 
Result so far: 52.0
Deduct 274 from 281 and we're left with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 137

Advancing to step 5:
The number 137 fits into 71 0 times, leaving a remainder of 71.
The next digit of our result is 0. 
Result so far: 520.0
If we take 0 away from 71, we end up with 71.
Bring next digit (1) of the dividend behind the 71 and repeat the process: 711 / 137

Moving on to step 6:
711 divided by 137 is 5 with a remainder of 26.
Use 5 as the next digit of our solution. 
Result so far: 5205.0
Subtracting 685 from 711 leaves us with 26.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 137

Advancing to step 7:
When dividing 260 by 137, we get 1 with a remainder of 123.
The next digit of our result is 1. 
Result so far: 52051.0
Subtract 137 from 260 to get 123.
Grab the next digit (1) from the dividend, add it to 123, then carry on: 1231 / 137

Advancing to step 8:
137 goes into 1231 8 times with a remainder of 135.
The next digit of our result is 8. 
Result so far: 520518.0
Subtracting 1096 from 1231 leaves us with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Let's proceed to step 9:
1350 divided by 137 is 9 with a remainder of 117.
Put 9 as the next digit of the answer. 
Result so far: 520518.9
Subtract 1233 from 1350 to get 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Advancing to step 10:
137 can be fit into 1170 8 times, resulting in a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 520518.98
If we subtract 1096 from 1170, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 11:
740 divided by 137 is 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 520518.985
The remainder is 55 after subtracting 685 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 12:
When dividing 550 by 137, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 520518.9854
If we take 548 away from 550, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 13:
If we divide 20 by 137, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 520518.9854
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
The number 137 fits into 200 1 times, leaving a remainder of 63.
Write down 1 as next digit of the result. 
Result so far: 520518.985401
Subtracting 137 from 200 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 15:
137 can be fit into 630 4 times, resulting in a remainder of 82.
Record the quotient 4 as the next digit in the result. 
Result so far: 520518.9854014
If we take 548 away from 630, we end up with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 16:
If we divide 820 by 137, we get 5 and a remainder of 135.
The next digit of our result is 5. 
Result so far: 520518.98540145
Subtracting 685 from 820 leaves us with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

The final outcome is 520518.98540145, with a leftover of 1.35e-07.