769937 ÷ 61 
We're looking to find how many times 61 goes into 769937.

Step 1:
61 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 61

Moving on to step 2:
When dividing 76 by 61, we get 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 61 from 76 leaves us with 15.
Grab the next digit (9) from the dividend, add it to 15, then carry on: 159 / 61

Moving on to step 3:
61 can be fit into 159 2 times, resulting in a remainder of 37.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 122 from 159 leaves us with 37.
Bring next digit (9) of the dividend behind the 37 and repeat the process: 379 / 61

Advancing to step 4:
61 goes into 379 6 times with a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 126.0
Subtract 366 from 379 to get 13.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 61

On to step 5:
When dividing 133 by 61, we get 2 with a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 1262.0
Subtracting 122 from 133 leaves us with 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 61

Moving on to step 6:
The number 61 fits into 117 1 times, leaving a remainder of 56.
The number 1 becomes the next digit in our result. 
Result so far: 12621.0
Subtract 61 from 117 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 7:
If we divide 560 by 61, we get 9 and a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 12621.9
Subtracting 549 from 560 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
The number 61 fits into 110 1 times, leaving a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 12621.91
If we take 61 away from 110, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 9:
When dividing 490 by 61, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 12621.918
Subtracting 488 from 490 leaves us 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.

Moving on to step 10:
61 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 12621.918
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
61 can be fit into 200 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 12621.91803
If we take 183 away from 200, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 12:
If we divide 170 by 61, we get 2 and a remainder of 48.
The next digit of our result is 2. 
Result so far: 12621.918032
Deduct 122 from 170 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 13:
The number 61 fits into 480 7 times, leaving a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 12621.9180327
Subtract 427 from 480 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 14:
If we divide 530 by 61, we get 8 and a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 12621.91803278
If we subtract 488 from 530, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

In conclusion, the division gives 12621.91803278 with a balance of 4.2e-08.