294 ÷ 7 =

Rewrite as $7\overline{)294}$

Step 1: Divide.

1. Find a trial quotient using multiplication tables or division facts.
2. Look at the dividend one digit at a time.
   1. The first digit is a 2, which is really 2 hundreds.
   2. Will 7 go into 2? Can you divide 2 by 7? No.
   3. Look at the first 2 digits, 29, which is really 29 tens.
   4. Will 7 go into 29? Yes. 4 × 7 = 28.
3. The first number in the quotient is 4. Place the 4 in the quotient directly above the 9 tens. The 4 is 4 tens in the quotient.

$\begin{array}{r}4\\ 7\overline{)294}\end{array}$

Step 2: Multiply.

1. Multiply 4 × 7  = 28.
2. Write the 28 under the 29. Draw a line.

$\underline{\begin{array}{r}4\\ 7\overline{)294}\\ 28\end{array}}$

Step 3: Subtract.

1. Subtract 29 − 28 = 1 (ten).
2. Check 1 < 7.

$\begin{array}{r}4\\ 7\overline{)294}\\ -28\\ 1\end{array}$

Step 4: Bring down the next number in the dividend.

1. Bring down the next number in the dividend (4), and put it beside the result of the subtraction you just completed (1).
   
2. Together, they make 14. This 14 is the number that you must now divide.

$\begin{array}{r}4\\ 7\overline{)294}\\ -28\\ 14\end{array}$

Repeat Step 1: Divide.

1. Divide 14 ÷ 7 = 2
2. Put the 2 in the quotient right after the 4 in the ones place.

$\begin{array}{r}42\\ 7\overline{)294}\\ -28\\ 14\end{array}$

Repeat Step 2: Multiply.

1. Multiply 2 × 7 = 14.
2. Write the 14 under the 14. Draw a line.

$\underline{\begin{array}{r}42\\ 7\overline{)294}\\ -28\\ 14\\ 14\end{array}}$

Repeat Step 3: Subtract.

1. Subtract 14 − 14 = 0. There is 0 remainder.
2. Check 0 < 7.

$\begin{array}{r}42\\ 7\overline{)294}\\ -28\\ 14\\ -14\\ 0\end{array}$

There are no more numbers in the dividend to bring down, so you are done.

294 ÷ 7 = 42

128 ÷ 2 =

$\begin{array}{r}64\\ 2\overline{)128}\\ -12\\ 08\\ -8\\ 0\end{array}$

Step 1: Divide.

1. Can 2 go into 1? No.
2. Can 2 go into 12? Yes.
3. How many times?
   • 2 × 6 = 12; 12 ÷ 2 = 6
4. The first number in the trial quotient is 6. Put the 6 in the quotient directly above the 2 tens dividend.

Step 2: Multiply.

1. 6 × 2 = 12.
2. Write the 12 under the 12. Draw a line.

Step 3: Subtract.

1. 12 − 12 = 0
2. Check 0 < 12

Step 4: Bring down the next number in the dividend.

1. Bring down the next number in the dividend (8), and put it beside the result of the subtraction you just completed (0).
2. 8 is now the number to be divided.

Repeat

1. Divide: 8 ÷ 2 = 4
2. Multiple: 4 × 2 = 8
3. Subtract: 8 − 8 = 0
   1. Check 0 < 2
4. Bring down the next digit. There are no more digits in the dividend.

128 ÷ 2 = 64

856 ÷ 8 =

$8\overline{)856}$

Divide

Does 8 go into 8? Yes. 8 ÷ 8 = 1.

$\begin{array}{r}1\\ 8\overline{)856}\end{array}$

Multiply

1 × 8 = 8

$\begin{array}{r}1\\ 8\overline{)856}\\ 8\end{array}$

Subtract

8 − 8 = 0. Check 0 < 8.

$\begin{array}{r}1\\ 8\overline{)856}\\ -8\\ 0\end{array}$

Bring down the next digit 

5 is now the number to be divided.

$\begin{array}{r}1\\ 8\overline{)856}\\ -8\\ 05\end{array}$

Now repeat.

Divide

Does 8 go into 5? No.

Multiply

0 × 8 = 0

$\begin{array}{r}10\\ 8\overline{)856}\\ -8\\ 05\end{array}$

Subtract

5 − 0 = 5. Check 5 < 8.

$\begin{array}{r}10\\ 8\overline{)856}\\ -8\\ 05\\ -0\\ 5\end{array}$

Bring down the next digit

56 is now the number to be divided.

$\begin{array}{r}10\\ 8\overline{)856}\\ -8\\ 05\\ -0\\ 56\end{array}$

Now repeat.

Divide

Does 8 go into 56? Yes. 56 ÷ 8 = 7.

Write 7 in the quotient in the ones place above the 6 in the dividend.

$\begin{array}{r}107\\ 8\overline{)856}\\ -8\\ 05\\ -0\\ 56\end{array}$

Multiply

7 × 8 = 56

$\begin{array}{r}107\\ 8\overline{)856}\\ -8\\ 05\\ -0\\ 56\\ 56\end{array}$

Subtract

56 − 56 = 0. Check 0 < 8.

$\begin{array}{r}107\\ 8\overline{)856}\\ -8\\ 05\\ -0\\ 56\\ -56\\ 0\end{array}$

Bring down the next digit.

No more digits.

856 ÷ 8 = 107

259 ÷ 8 =

$\begin{array}{l}32\text{ R}3\\ 8\overline{)259}\\ -24\\ 19\\ -16\\ 3\end{array}$

259 ÷ 8 = 32 R3

$\begin{array}{l}52\text{ R}1\\ 9\overline{)469}\\ -45\\ 19\\ -18\\ 1\end{array}$                 $\begin{array}{rr}& 52\\ \times & 9\\ & 468\end{array}$                 $468+1=469$