We're dividing 7443580 by 681 
We want to divide 7443580 by 681.

Let's proceed to step 1:
The number 681 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 681

Step 2:
681 goes into 74 0 times with a remainder of 74.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Append the next digit (4) from the dividend to 74 and continue with: 744 / 681

Let's proceed to step 3:
If we divide 744 by 681, we get 1 and a remainder of 63.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 63 after subtracting 681 from 744.
Bring next digit (3) of the dividend behind the 63 and repeat the process: 633 / 681

Advancing to step 4:
681 goes into 633 0 times with a remainder of 633.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 633 to get 633.
Include the next digit (5) from the dividend after 633, then repeat: 6335 / 681

Step 5:
681 goes into 6335 9 times with a remainder of 206.
Use 9 as the next digit of our solution. 
Result so far: 109.0
The remainder is 206 after subtracting 6129 from 6335.
Include the next digit (8) from the dividend after 206, then repeat: 2068 / 681

Let's proceed to step 6:
If we divide 2068 by 681, we get 3 and a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 1093.0
If we subtract 2043 from 2068, we get 25.
Bring next digit (0) of the dividend behind the 25 and repeat the process: 250 / 681

On to step 7:
681 goes into 250 0 times with a remainder of 250.
Write down 0 as next digit of the result. 
Result so far: 10930.0
Subtracting 0 from 250 leaves us with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Advancing to step 8:
The number 681 fits into 2500 3 times, leaving a remainder of 457.
Write down 3 as next digit of the result. 
Result so far: 10930.3
The remainder is 457 after subtracting 2043 from 2500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4570, and continue the process.

Let's proceed to step 9:
The number 681 fits into 4570 6 times, leaving a remainder of 484.
The number 6 becomes the next digit in our result. 
Result so far: 10930.36
Subtract 4086 from 4570 to get 484.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

Step 10:
The number 681 fits into 4840 7 times, leaving a remainder of 73.
Write down 7 as next digit of the result. 
Result so far: 10930.367
Subtract 4767 from 4840 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 11:
The number 681 fits into 730 1 times, leaving a remainder of 49.
The number 1 becomes the next digit in our result. 
Result so far: 10930.3671
Subtract 681 from 730 to get 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 12:
681 can be fit into 490 0 times, resulting in a remainder of 490.
The next digit of our result is 0. 
Result so far: 10930.3671
Subtract 0 from 490 to get 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

On to step 13:
When dividing 4900 by 681, we get 7 with a remainder of 133.
Record the quotient 7 as the next digit in the result. 
Result so far: 10930.367107
The remainder is 133 after subtracting 4767 from 4900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

Let's proceed to step 14:
1330 divided by 681 is 1 with a remainder of 649.
Use 1 as the next digit of our solution. 
Result so far: 10930.3671071
Deduct 681 from 1330 and we're left with 649.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6490, and continue the process.

Moving on to step 15:
The number 681 fits into 6490 9 times, leaving a remainder of 361.
Put 9 as the next digit of the answer. 
Result so far: 10930.36710719
Subtracting 6129 from 6490 leaves us with 361.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3610, and continue the process.

After the division, we end up with 10930.36710719 and a remainder of 3.61e-07.