10218257 ÷ 901 
Our goal is to divide 10218257 by 901.

Step 1:
901 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 901

Step 2:
The number 901 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 901

Going ahead to step 3:
If we divide 102 by 901, we get 0 and a remainder of 102.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 102 after subtracting 0 from 102.
Include the next digit (1) from the dividend after 102, then repeat: 1021 / 901

Going ahead to step 4:
When dividing 1021 by 901, we get 1 with a remainder of 120.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 901 from 1021 to get 120.
Take the next digit (8) from the dividend and append it to 120, then repeat: 1208 / 901

Moving on to step 5:
If we divide 1208 by 901, we get 1 and a remainder of 307.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Deduct 901 from 1208 and we're left with 307.
Include the next digit (2) from the dividend after 307, then repeat: 3072 / 901

Moving on to step 6:
901 goes into 3072 3 times with a remainder of 369.
Put 3 as the next digit of the answer. 
Result so far: 113.0
Subtracting 2703 from 3072 leaves us with 369.
Append the next digit (5) from the dividend to 369 and continue with: 3695 / 901

Moving on to step 7:
901 goes into 3695 4 times with a remainder of 91.
Use 4 as the next digit of our solution. 
Result so far: 1134.0
Subtracting 3604 from 3695 leaves us with 91.
Include the next digit (7) from the dividend after 91, then repeat: 917 / 901

Let's proceed to step 8:
901 can be fit into 917 1 times, resulting in a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 11341.0
If we take 901 away from 917, 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.

On to step 9:
If we divide 160 by 901, we get 0 and a remainder of 160.
Record the quotient 0 as the next digit in the result. 
Result so far: 11341.0
If we subtract 0 from 160, we get 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Let's proceed to step 10:
901 goes into 1600 1 times with a remainder of 699.
Write down 1 as next digit of the result. 
Result so far: 11341.01
Deduct 901 from 1600 and we're left with 699.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6990, and continue the process.

Step 11:
If we divide 6990 by 901, we get 7 and a remainder of 683.
Record the quotient 7 as the next digit in the result. 
Result so far: 11341.017
If we take 6307 away from 6990, we end up with 683.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6830, and continue the process.

Advancing to step 12:
If we divide 6830 by 901, we get 7 and a remainder of 523.
Record the quotient 7 as the next digit in the result. 
Result so far: 11341.0177
Subtracting 6307 from 6830 leaves us with 523.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5230, and continue the process.

After the division, we end up with 11341.0177 and a remainder of 0.00523.