31379102 ÷ 451 
Our goal is to divide 31379102 by 451.

Step 1:
The number 451 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 451

On to step 2:
31 divided by 451 is 0 with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Bring next digit (3) of the dividend behind the 31 and repeat the process: 313 / 451

Step 3:
451 goes into 313 0 times with a remainder of 313.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 313 after subtracting 0 from 313.
Take the next digit (7) from the dividend and append it to 313, then repeat: 3137 / 451

Going ahead to step 4:
3137 divided by 451 is 6 with a remainder of 431.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 2706 away from 3137, we end up with 431.
Take the next digit (9) from the dividend and append it to 431, then repeat: 4319 / 451

Let's proceed to step 5:
When dividing 4319 by 451, we get 9 with a remainder of 260.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
Deduct 4059 from 4319 and we're left with 260.
Grab the next digit (1) from the dividend, add it to 260, then carry on: 2601 / 451

Moving on to step 6:
When dividing 2601 by 451, we get 5 with a remainder of 346.
The number 5 becomes the next digit in our result. 
Result so far: 695.0
Deduct 2255 from 2601 and we're left with 346.
Take the next digit (0) from the dividend and append it to 346, then repeat: 3460 / 451

Moving on to step 7:
451 goes into 3460 7 times with a remainder of 303.
The number 7 becomes the next digit in our result. 
Result so far: 6957.0
Deduct 3157 from 3460 and we're left with 303.
Fetch the next digit (2) from the dividend, attach it to 303 and continue: 3032 / 451

Let's proceed to step 8:
451 can be fit into 3032 6 times, resulting in a remainder of 326.
Write down 6 as next digit of the result. 
Result so far: 69576.0
If we subtract 2706 from 3032, we get 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Moving on to step 9:
3260 divided by 451 is 7 with a remainder of 103.
Use 7 as the next digit of our solution. 
Result so far: 69576.7
If we subtract 3157 from 3260, we get 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Moving on to step 10:
The number 451 fits into 1030 2 times, leaving a remainder of 128.
Use 2 as the next digit of our solution. 
Result so far: 69576.72
Deduct 902 from 1030 and we're left with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

On to step 11:
If we divide 1280 by 451, we get 2 and a remainder of 378.
Use 2 as the next digit of our solution. 
Result so far: 69576.722
The remainder is 378 after subtracting 902 from 1280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

In conclusion, the division gives 69576.722 with a balance of 0.0378.