We look at the division of 35507564 by 137 
Let's see how many times 137 fits into 35507564.

Step 1:
3 divided by 137 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 137

On to step 2:
35 divided by 137 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Include the next digit (5) from the dividend after 35, then repeat: 355 / 137

Let's proceed to step 3:
The number 137 fits into 355 2 times, leaving a remainder of 81.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 274 from 355 to get 81.
Append the next digit (0) from the dividend to 81 and continue with: 810 / 137

Going ahead to step 4:
If we divide 810 by 137, we get 5 and a remainder of 125.
Use 5 as the next digit of our solution. 
Result so far: 25.0
If we take 685 away from 810, we end up with 125.
Fetch the next digit (7) from the dividend, attach it to 125 and continue: 1257 / 137

Let's proceed to step 5:
137 can be fit into 1257 9 times, resulting in a remainder of 24.
Put 9 as the next digit of the answer. 
Result so far: 259.0
Subtract 1233 from 1257 to get 24.
Bring next digit (5) of the dividend behind the 24 and repeat the process: 245 / 137

Going ahead to step 6:
If we divide 245 by 137, we get 1 and a remainder of 108.
The number 1 becomes the next digit in our result. 
Result so far: 2591.0
The remainder is 108 after subtracting 137 from 245.
Include the next digit (6) from the dividend after 108, then repeat: 1086 / 137

Going ahead to step 7:
137 can be fit into 1086 7 times, resulting in a remainder of 127.
The number 7 becomes the next digit in our result. 
Result so far: 25917.0
If we subtract 959 from 1086, we get 127.
Bring next digit (4) of the dividend behind the 127 and repeat the process: 1274 / 137

Going ahead to step 8:
1274 divided by 137 is 9 with a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 259179.0
Subtract 1233 from 1274 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 9:
If we divide 410 by 137, we get 2 and a remainder of 136.
Record the quotient 2 as the next digit in the result. 
Result so far: 259179.2
If we take 274 away from 410, we end up with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Moving on to step 10:
If we divide 1360 by 137, we get 9 and a remainder of 127.
The number 9 becomes the next digit in our result. 
Result so far: 259179.29
If we subtract 1233 from 1360, we get 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1270, and continue the process.

Moving on to step 11:
The number 137 fits into 1270 9 times, leaving a remainder of 37.
Write down 9 as next digit of the result. 
Result so far: 259179.299
If we subtract 1233 from 1270, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The final outcome is 259179.299, with a leftover of 0.0037.