953633 ÷ 79 
We want to divide 953633 by 79.

On to step 1:
The number 79 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 79

Moving on to step 2:
When dividing 95 by 79, we get 1 with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 79 from 95 and we're left with 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 79

Let's proceed to step 3:
If we divide 163 by 79, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 5 after subtracting 158 from 163.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 79

Moving on to step 4:
When dividing 56 by 79, we get 0 with a remainder of 56.
The next digit of our result is 0. 
Result so far: 120.0
If we take 0 away from 56, we end up with 56.
Bring next digit (3) of the dividend behind the 56 and repeat the process: 563 / 79

Advancing to step 5:
If we divide 563 by 79, we get 7 and a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 1207.0
Subtracting 553 from 563 leaves us with 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 79

Let's proceed to step 6:
If we divide 103 by 79, we get 1 and a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 12071.0
Subtract 79 from 103 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
When dividing 240 by 79, we get 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 12071.3
The remainder is 3 after subtracting 237 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
When dividing 30 by 79, we get 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 12071.3
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
300 divided by 79 is 3 with a remainder of 63.
Write down 3 as next digit of the result. 
Result so far: 12071.303
Subtract 237 from 300 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 10:
79 can be fit into 630 7 times, resulting in a remainder of 77.
The number 7 becomes the next digit in our result. 
Result so far: 12071.3037
Subtracting 553 from 630 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 11:
770 divided by 79 is 9 with a remainder of 59.
Write down 9 as next digit of the result. 
Result so far: 12071.30379
If we take 711 away from 770, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 12:
79 can be fit into 590 7 times, resulting in a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 12071.303797
Subtracting 553 from 590 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 13:
79 can be fit into 370 4 times, resulting in a remainder of 54.
Record the quotient 4 as the next digit in the result. 
Result so far: 12071.3037974
The remainder is 54 after subtracting 316 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 14:
79 can be fit into 540 6 times, resulting in a remainder of 66.
Use 6 as the next digit of our solution. 
Result so far: 12071.30379746
Subtract 474 from 540 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The final result is 12071.30379746 with a remainder of 6.6e-08.