We're dividing 107113 by 581 
Our goal is to divide 107113 by 581.

Going ahead to step 1:
The number 581 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 581

Advancing to step 2:
The number 581 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 581

On to step 3:
The number 581 fits into 107 0 times, leaving a remainder of 107.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 107, we end up with 107.
Fetch the next digit (1) from the dividend, attach it to 107 and continue: 1071 / 581

Going ahead to step 4:
If we divide 1071 by 581, we get 1 and a remainder of 490.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 581 from 1071, we get 490.
Include the next digit (1) from the dividend after 490, then repeat: 4901 / 581

Going ahead to step 5:
The number 581 fits into 4901 8 times, leaving a remainder of 253.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Deduct 4648 from 4901 and we're left with 253.
Append the next digit (3) from the dividend to 253 and continue with: 2533 / 581

Going ahead to step 6:
If we divide 2533 by 581, we get 4 and a remainder of 209.
Write down 4 as next digit of the result. 
Result so far: 184.0
Subtract 2324 from 2533 to get 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

Advancing to step 7:
When dividing 2090 by 581, we get 3 with a remainder of 347.
Put 3 as the next digit of the answer. 
Result so far: 184.3
If we subtract 1743 from 2090, we get 347.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3470, and continue the process.

Advancing to step 8:
If we divide 3470 by 581, we get 5 and a remainder of 565.
Use 5 as the next digit of our solution. 
Result so far: 184.35
Subtract 2905 from 3470 to get 565.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5650, and continue the process.

Going ahead to step 9:
5650 divided by 581 is 9 with a remainder of 421.
Use 9 as the next digit of our solution. 
Result so far: 184.359
If we take 5229 away from 5650, we end up with 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4210, and continue the process.

Moving on to step 10:
581 can be fit into 4210 7 times, resulting in a remainder of 143.
The number 7 becomes the next digit in our result. 
Result so far: 184.3597
Subtracting 4067 from 4210 leaves us with 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Let's proceed to step 11:
581 goes into 1430 2 times with a remainder of 268.
Put 2 as the next digit of the answer. 
Result so far: 184.35972
The remainder is 268 after subtracting 1162 from 1430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Let's proceed to step 12:
581 goes into 2680 4 times with a remainder of 356.
Write down 4 as next digit of the result. 
Result so far: 184.359724
The remainder is 356 after subtracting 2324 from 2680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

Advancing to step 13:
3560 divided by 581 is 6 with a remainder of 74.
Record the quotient 6 as the next digit in the result. 
Result so far: 184.3597246
Deduct 3486 from 3560 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 14:
When dividing 740 by 581, we get 1 with a remainder of 159.
Write down 1 as next digit of the result. 
Result so far: 184.35972461
Subtracting 581 from 740 leaves us with 159.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1590, and continue the process.

The quotient of the division is 184.35972461, and the remainder is 1.59e-07.