71137357 ÷ 137 
Our goal is to divide 71137357 by 137.

On to step 1:
7 divided by 137 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 137

Let's proceed to step 2:
137 can be fit into 71 0 times, resulting in 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.
Grab the next digit (1) from the dividend, add it to 71, then carry on: 711 / 137

On to step 3:
137 goes into 711 5 times with a remainder of 26.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 685 from 711 and we're left with 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 137

Advancing to step 4:
If we divide 263 by 137, we get 1 and a remainder of 126.
Use 1 as the next digit of our solution. 
Result so far: 51.0
If we take 137 away from 263, we end up with 126.
Take the next digit (7) from the dividend and append it to 126, then repeat: 1267 / 137

Going ahead to step 5:
The number 137 fits into 1267 9 times, leaving a remainder of 34.
The number 9 becomes the next digit in our result. 
Result so far: 519.0
If we subtract 1233 from 1267, we get 34.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 137

On to step 6:
When dividing 343 by 137, we get 2 with a remainder of 69.
Write down 2 as next digit of the result. 
Result so far: 5192.0
Deduct 274 from 343 and we're left with 69.
Bring next digit (5) of the dividend behind the 69 and repeat the process: 695 / 137

Let's proceed to step 7:
695 divided by 137 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 51925.0
The remainder is 10 after subtracting 685 from 695.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 137

Moving on to step 8:
If we divide 107 by 137, we get 0 and a remainder of 107.
Record the quotient 0 as the next digit in the result. 
Result so far: 519250.0
The remainder is 107 after subtracting 0 from 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

Advancing to step 9:
137 can be fit into 1070 7 times, resulting in a remainder of 111.
Put 7 as the next digit of the answer. 
Result so far: 519250.7
If we subtract 959 from 1070, we get 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

Going ahead to step 10:
1110 divided by 137 is 8 with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 519250.78
Subtracting 1096 from 1110 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 11:
The number 137 fits into 140 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 519250.781
Subtracting 137 from 140 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 12:
137 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 519250.781
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 13:
The number 137 fits into 300 2 times, leaving a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 519250.78102
Subtracting 274 from 300 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 14:
The number 137 fits into 260 1 times, leaving a remainder of 123.
Record the quotient 1 as the next digit in the result. 
Result so far: 519250.781021
Subtracting 137 from 260 leaves us with 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

Advancing to step 15:
137 goes into 1230 8 times with a remainder of 134.
Use 8 as the next digit of our solution. 
Result so far: 519250.7810218
Subtract 1096 from 1230 to get 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

Advancing to step 16:
If we divide 1340 by 137, we get 9 and a remainder of 107.
Put 9 as the next digit of the answer. 
Result so far: 519250.78102189
Deduct 1233 from 1340 and we're left with 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

The final result is 519250.78102189 with a remainder of 1.07e-07.