We're dividing 75677537 by 137 
We're looking to find how many times 137 goes into 75677537.

Step 1:
137 goes into 7 0 times with 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.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 137

Let's proceed to step 2:
The number 137 fits into 75 0 times, leaving a remainder of 75.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Append the next digit (6) from the dividend to 75 and continue with: 756 / 137

Advancing to step 3:
If we divide 756 by 137, we get 5 and a remainder of 71.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 685 away from 756, we end up with 71.
Grab the next digit (7) from the dividend, add it to 71, then carry on: 717 / 137

Advancing to step 4:
137 can be fit into 717 5 times, resulting in a remainder of 32.
Use 5 as the next digit of our solution. 
Result so far: 55.0
Subtracting 685 from 717 leaves us with 32.
Grab the next digit (7) from the dividend, add it to 32, then carry on: 327 / 137

Going ahead to step 5:
137 can be fit into 327 2 times, resulting in a remainder of 53.
Use 2 as the next digit of our solution. 
Result so far: 552.0
The remainder is 53 after subtracting 274 from 327.
Append the next digit (5) from the dividend to 53 and continue with: 535 / 137

On to step 6:
137 can be fit into 535 3 times, resulting in a remainder of 124.
Record the quotient 3 as the next digit in the result. 
Result so far: 5523.0
Subtract 411 from 535 to get 124.
Grab the next digit (3) from the dividend, add it to 124, then carry on: 1243 / 137

Advancing to step 7:
137 goes into 1243 9 times with a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 55239.0
Subtract 1233 from 1243 to get 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 137

Going ahead to step 8:
When dividing 107 by 137, we get 0 with a remainder of 107.
The number 0 becomes the next digit in our result. 
Result so far: 552390.0
Subtracting 0 from 107 leaves us 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.

Advancing to step 9:
1070 divided by 137 is 7 with a remainder of 111.
Use 7 as the next digit of our solution. 
Result so far: 552390.7
Deduct 959 from 1070 and we're left with 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

Moving on to step 10:
When dividing 1110 by 137, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 552390.78
If we subtract 1096 from 1110, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 11:
When dividing 140 by 137, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 552390.781
The remainder is 3 after subtracting 137 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 12:
30 divided by 137 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 552390.781
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
The number 137 fits into 300 2 times, leaving a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 552390.78102
The remainder is 26 after subtracting 274 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 14:
If we divide 260 by 137, we get 1 and a remainder of 123.
Record the quotient 1 as the next digit in the result. 
Result so far: 552390.781021
Subtract 137 from 260 to get 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 can be fit into 1230 8 times, resulting in a remainder of 134.
Use 8 as the next digit of our solution. 
Result so far: 552390.7810218
If we take 1096 away from 1230, we end up with 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:
When dividing 1340 by 137, we get 9 with a remainder of 107.
The next digit of our result is 9. 
Result so far: 552390.78102189
If we take 1233 away from 1340, we end up 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.

In conclusion, the division gives 552390.78102189 with a balance of 1.07e-07.