105644 divided by 76 
We want to divide 105644 by 76.

Let's proceed to step 1:
The number 76 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 76

On to step 2:
76 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 76

Going ahead to step 3:
76 goes into 105 1 times with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 76 away from 105, we end up with 29.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 76

Let's proceed to step 4:
76 goes into 296 3 times with a remainder of 68.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 68 after subtracting 228 from 296.
Take the next digit (4) from the dividend and append it to 68, then repeat: 684 / 76

On to step 5:
76 goes into 684 9 times with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 139.0
The remainder is 0 after subtracting 684 from 684.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 76

Advancing to step 6:
When dividing 4 by 76, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 1390.0
Deduct 0 from 4 and we're left 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.

Going ahead to step 7:
40 divided by 76 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 1390.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
400 divided by 76 is 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 1390.05
If we take 380 away from 400, we end up 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.

Advancing to step 9:
The number 76 fits into 200 2 times, leaving a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 1390.052
If we take 152 away from 200, we end up 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.

Moving on to step 10:
76 can be fit into 480 6 times, resulting in a remainder of 24.
The next digit of our result is 6. 
Result so far: 1390.0526
The remainder is 24 after subtracting 456 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 11:
240 divided by 76 is 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 1390.05263
Subtract 228 from 240 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
76 goes into 120 1 times with a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 1390.052631
If we subtract 76 from 120, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 13:
If we divide 440 by 76, we get 5 and a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 1390.0526315
Subtract 380 from 440 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 14:
If we divide 600 by 76, we get 7 and a remainder of 68.
Use 7 as the next digit of our solution. 
Result so far: 1390.05263157
Subtracting 532 from 600 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

In conclusion, the division gives 1390.05263157 with a balance of 6.8e-08.