7743961 ÷ 581 
We want to divide 7743961 by 581.

Going ahead to step 1:
581 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 581

Let's proceed to step 2:
When dividing 77 by 581, we get 0 with a remainder of 77.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Include the next digit (4) from the dividend after 77, then repeat: 774 / 581

Moving on to step 3:
581 goes into 774 1 times with a remainder of 193.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 193 after subtracting 581 from 774.
Append the next digit (3) from the dividend to 193 and continue with: 1933 / 581

Advancing to step 4:
581 can be fit into 1933 3 times, resulting in a remainder of 190.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 1743 away from 1933, we end up with 190.
Take the next digit (9) from the dividend and append it to 190, then repeat: 1909 / 581

On to step 5:
1909 divided by 581 is 3 with a remainder of 166.
Record the quotient 3 as the next digit in the result. 
Result so far: 133.0
Subtracting 1743 from 1909 leaves us with 166.
Include the next digit (6) from the dividend after 166, then repeat: 1666 / 581

Step 6:
581 goes into 1666 2 times with a remainder of 504.
Write down 2 as next digit of the result. 
Result so far: 1332.0
Deduct 1162 from 1666 and we're left with 504.
Take the next digit (1) from the dividend and append it to 504, then repeat: 5041 / 581

Moving on to step 7:
If we divide 5041 by 581, we get 8 and a remainder of 393.
The next digit of our result is 8. 
Result so far: 13328.0
Subtracting 4648 from 5041 leaves us with 393.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3930, and continue the process.

Advancing to step 8:
If we divide 3930 by 581, we get 6 and a remainder of 444.
Use 6 as the next digit of our solution. 
Result so far: 13328.6
If we subtract 3486 from 3930, we get 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Advancing to step 9:
When dividing 4440 by 581, we get 7 with a remainder of 373.
Record the quotient 7 as the next digit in the result. 
Result so far: 13328.67
The remainder is 373 after subtracting 4067 from 4440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3730, and continue the process.

On to step 10:
The number 581 fits into 3730 6 times, leaving a remainder of 244.
The next digit of our result is 6. 
Result so far: 13328.676
Subtracting 3486 from 3730 leaves us with 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Going ahead to step 11:
When dividing 2440 by 581, we get 4 with a remainder of 116.
Record the quotient 4 as the next digit in the result. 
Result so far: 13328.6764
Subtracting 2324 from 2440 leaves us with 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Going ahead to step 12:
When dividing 1160 by 581, we get 1 with a remainder of 579.
Write down 1 as next digit of the result. 
Result so far: 13328.67641
Subtracting 581 from 1160 leaves us with 579.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5790, and continue the process.

Step 13:
581 goes into 5790 9 times with a remainder of 561.
The number 9 becomes the next digit in our result. 
Result so far: 13328.676419
The remainder is 561 after subtracting 5229 from 5790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5610, and continue the process.

Step 14:
581 goes into 5610 9 times with a remainder of 381.
Record the quotient 9 as the next digit in the result. 
Result so far: 13328.6764199
Subtracting 5229 from 5610 leaves us with 381.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3810, and continue the process.

The final outcome is 13328.6764199, with a leftover of 3.81e-06.