136977 ÷ 61 
We want to figure out the number of times 136977 can be divided by 61.

Advancing to step 1:
The number 61 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 61

On to step 2:
13 divided by 61 is 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 61

Advancing to step 3:
136 divided by 61 is 2 with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 122 from 136, we get 14.
Bring next digit (9) of the dividend behind the 14 and repeat the process: 149 / 61

Step 4:
149 divided by 61 is 2 with a remainder of 27.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
If we take 122 away from 149, we end up with 27.
Take the next digit (7) from the dividend and append it to 27, then repeat: 277 / 61

Advancing to step 5:
277 divided by 61 is 4 with a remainder of 33.
Use 4 as the next digit of our solution. 
Result so far: 224.0
Deduct 244 from 277 and we're left with 33.
Grab the next digit (7) from the dividend, add it to 33, then carry on: 337 / 61

Advancing to step 6:
61 can be fit into 337 5 times, resulting in a remainder of 32.
Record the quotient 5 as the next digit in the result. 
Result so far: 2245.0
Subtracting 305 from 337 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
If we divide 320 by 61, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 2245.5
Subtract 305 from 320 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
61 goes into 150 2 times with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 2245.52
Subtract 122 from 150 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
When dividing 280 by 61, we get 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 2245.524
If we subtract 244 from 280, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
61 can be fit into 360 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 2245.5245
If we take 305 away from 360, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 11:
When dividing 550 by 61, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 2245.52459
Deduct 549 from 550 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
When dividing 10 by 61, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 2245.52459
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
The number 61 fits into 100 1 times, leaving a remainder of 39.
The next digit of our result is 1. 
Result so far: 2245.5245901
Subtract 61 from 100 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 14:
If we divide 390 by 61, we get 6 and a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 2245.52459016
If we subtract 366 from 390, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 2245.52459016 with a remainder of 2.4e-08.