Solve 1000div22

$$1000 \div 22$$

Evaluate

$$\frac{500}{11}\approx 45.454545455$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1000

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)1000}\\\end{array}$$

Since 1 is less than 22, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)1000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)1000}\\\end{array}$$

Since 10 is less than 22, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}00\phantom{4}\\22\overline{)1000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{22)}00\phantom{5}\\22\overline{)1000}\\\end{array}$$

Find closest multiple of 22 to 100. We see that 4 \times 22 = 88 is the nearest. Now subtract 88 from 100 to get reminder 12. Add 4 to quotient.

$$\begin{array}{l}\phantom{22)}004\phantom{6}\\22\overline{)1000}\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}12\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{22)}004\phantom{7}\\22\overline{)1000}\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}120\\\end{array}$$

Find closest multiple of 22 to 120. We see that 5 \times 22 = 110 is the nearest. Now subtract 110 from 120 to get reminder 10. Add 5 to quotient.

$$\begin{array}{l}\phantom{22)}0045\phantom{8}\\22\overline{)1000}\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}120\\\phantom{22)}\underline{\phantom{9}110\phantom{}}\\\phantom{22)99}10\\\end{array}$$

Since 10 is less than 22, stop the division. The reminder is 10. The topmost line 0045 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 45.

$$\text{Quotient: }45 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {3}}{11} = 45\frac{5}{11} = 45.45454545454545$$