97219001 ÷ 106 
Our goal is to divide 97219001 by 106.

On to step 1:
When dividing 9 by 106, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 106

Going ahead to step 2:
The number 106 fits into 97 0 times, leaving a remainder of 97.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 97 and we're left with 97.
Bring next digit (2) of the dividend behind the 97 and repeat the process: 972 / 106

Advancing to step 3:
The number 106 fits into 972 9 times, leaving a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtracting 954 from 972 leaves us with 18.
Bring next digit (1) of the dividend behind the 18 and repeat the process: 181 / 106

Step 4:
106 can be fit into 181 1 times, resulting in a remainder of 75.
The number 1 becomes the next digit in our result. 
Result so far: 91.0
Subtracting 106 from 181 leaves us with 75.
Bring next digit (9) of the dividend behind the 75 and repeat the process: 759 / 106

Advancing to step 5:
106 goes into 759 7 times with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 917.0
Subtract 742 from 759 to get 17.
Grab the next digit (0) from the dividend, add it to 17, then carry on: 170 / 106

Moving on to step 6:
170 divided by 106 is 1 with a remainder of 64.
Write down 1 as next digit of the result. 
Result so far: 9171.0
If we subtract 106 from 170, we get 64.
Take the next digit (0) from the dividend and append it to 64, then repeat: 640 / 106

Let's proceed to step 7:
The number 106 fits into 640 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 91716.0
Subtract 636 from 640 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 106

Let's proceed to step 8:
When dividing 41 by 106, we get 0 with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 917160.0
Subtract 0 from 41 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 9:
If we divide 410 by 106, we get 3 and a remainder of 92.
The next digit of our result is 3. 
Result so far: 917160.3
Deduct 318 from 410 and we're left with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Let's proceed to step 10:
When dividing 920 by 106, we get 8 with a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 917160.38
If we take 848 away from 920, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 11:
If we divide 720 by 106, we get 6 and a remainder of 84.
Record the quotient 6 as the next digit in the result. 
Result so far: 917160.386
Subtract 636 from 720 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Moving on to step 12:
The number 106 fits into 840 7 times, leaving a remainder of 98.
The next digit of our result is 7. 
Result so far: 917160.3867
The remainder is 98 after subtracting 742 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

On to step 13:
980 divided by 106 is 9 with a remainder of 26.
The next digit of our result is 9. 
Result so far: 917160.38679
If we subtract 954 from 980, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 14:
The number 106 fits into 260 2 times, leaving a remainder of 48.
The next digit of our result is 2. 
Result so far: 917160.386792
The remainder is 48 after subtracting 212 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 15:
When dividing 480 by 106, we get 4 with a remainder of 56.
The next digit of our result is 4. 
Result so far: 917160.3867924
Subtract 424 from 480 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 16:
If we divide 560 by 106, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 917160.38679245
Deduct 530 from 560 and we're left 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.

In conclusion, the division gives 917160.38679245 with a balance of 3e-08.