103510 ÷ 84 
We're looking to find how many times 84 goes into 103510.

Moving on to step 1:
1 divided by 84 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 84

Moving on to step 2:
10 divided by 84 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 84

Advancing to step 3:
When dividing 103 by 84, we get 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 84 from 103 to get 19.
Append the next digit (5) from the dividend to 19 and continue with: 195 / 84

Step 4:
If we divide 195 by 84, we get 2 and a remainder of 27.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 168 from 195, we get 27.
Append the next digit (1) from the dividend to 27 and continue with: 271 / 84

On to step 5:
84 can be fit into 271 3 times, resulting in a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 123.0
If we take 252 away from 271, we end up with 19.
Take the next digit (0) from the dividend and append it to 19, then repeat: 190 / 84

Let's proceed to step 6:
190 divided by 84 is 2 with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 1232.0
Deduct 168 from 190 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 7:
If we divide 220 by 84, we get 2 and a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 1232.2
If we take 168 away from 220, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 8:
When dividing 520 by 84, we get 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 1232.26
If we take 504 away from 520, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
84 can be fit into 160 1 times, resulting in a remainder of 76.
Put 1 as the next digit of the answer. 
Result so far: 1232.261
Deduct 84 from 160 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 10:
84 goes into 760 9 times with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 1232.2619
The remainder is 4 after subtracting 756 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
When dividing 40 by 84, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 1232.2619
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 12:
84 can be fit into 400 4 times, resulting in a remainder of 64.
Write down 4 as next digit of the result. 
Result so far: 1232.261904
Subtract 336 from 400 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 13:
The number 84 fits into 640 7 times, leaving a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 1232.2619047
If we take 588 away from 640, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 14:
84 goes into 520 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 1232.26190476
Subtract 504 from 520 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 1232.26190476 with a balance of 1.6e-08.