7771005 divided by 127 
Our goal is to divide 7771005 by 127.

Advancing to step 1:
If we divide 7 by 127, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 127

Step 2:
127 goes into 77 0 times with a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 77 leaves us with 77.
Take the next digit (7) from the dividend and append it to 77, then repeat: 777 / 127

Moving on to step 3:
127 goes into 777 6 times with a remainder of 15.
The next digit of our result is 6. 
Result so far: 6.0
If we take 762 away from 777, we end up with 15.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 127

Advancing to step 4:
127 goes into 151 1 times with a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Subtracting 127 from 151 leaves us with 24.
Take the next digit (0) from the dividend and append it to 24, then repeat: 240 / 127

Moving on to step 5:
If we divide 240 by 127, we get 1 and a remainder of 113.
Write down 1 as next digit of the result. 
Result so far: 611.0
Subtract 127 from 240 to get 113.
Fetch the next digit (0) from the dividend, attach it to 113 and continue: 1130 / 127

On to step 6:
1130 divided by 127 is 8 with a remainder of 114.
Put 8 as the next digit of the answer. 
Result so far: 6118.0
Subtracting 1016 from 1130 leaves us with 114.
Include the next digit (5) from the dividend after 114, then repeat: 1145 / 127

On to step 7:
127 goes into 1145 9 times with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 61189.0
The remainder is 2 after subtracting 1143 from 1145.
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 8:
127 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: 61189.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
When dividing 200 by 127, we get 1 with a remainder of 73.
Put 1 as the next digit of the answer. 
Result so far: 61189.01
Deduct 127 from 200 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 10:
When dividing 730 by 127, we get 5 with a remainder of 95.
Write down 5 as next digit of the result. 
Result so far: 61189.015
Subtract 635 from 730 to get 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Step 11:
950 divided by 127 is 7 with a remainder of 61.
Put 7 as the next digit of the answer. 
Result so far: 61189.0157
If we subtract 889 from 950, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 12:
127 can be fit into 610 4 times, resulting in a remainder of 102.
Record the quotient 4 as the next digit in the result. 
Result so far: 61189.01574
If we take 508 away from 610, we end up with 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Advancing to step 13:
If we divide 1020 by 127, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 61189.015748
Subtracting 1016 from 1020 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
127 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 61189.015748
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 15:
If we divide 400 by 127, we get 3 and a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 61189.01574803
Subtracting 381 from 400 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 61189.01574803 with a balance of 1.9e-08.