Solve 5040/22

$$\frac { 5040 } { 22 }$$

Evaluate

$$\frac{2520}{11}\approx 229.090909091$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5040

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)5040}\\\end{array}$$

Since 5 is less than 22, use the next digit 0 from dividend 5040 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)5040}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 5040

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)5040}\\\end{array}$$

Find closest multiple of 22 to 50. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 50 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{22)}02\phantom{4}\\22\overline{)5040}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)9}6\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 5040

$$\begin{array}{l}\phantom{22)}02\phantom{5}\\22\overline{)5040}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)9}64\\\end{array}$$

Find closest multiple of 22 to 64. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 64 to get reminder 20. Add 2 to quotient.

$$\begin{array}{l}\phantom{22)}022\phantom{6}\\22\overline{)5040}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)9}64\\\phantom{22)}\underline{\phantom{9}44\phantom{9}}\\\phantom{22)9}20\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5040

$$\begin{array}{l}\phantom{22)}022\phantom{7}\\22\overline{)5040}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)9}64\\\phantom{22)}\underline{\phantom{9}44\phantom{9}}\\\phantom{22)9}200\\\end{array}$$

Find closest multiple of 22 to 200. We see that 9 \times 22 = 198 is the nearest. Now subtract 198 from 200 to get reminder 2. Add 9 to quotient.

$$\begin{array}{l}\phantom{22)}0229\phantom{8}\\22\overline{)5040}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)9}64\\\phantom{22)}\underline{\phantom{9}44\phantom{9}}\\\phantom{22)9}200\\\phantom{22)}\underline{\phantom{9}198\phantom{}}\\\phantom{22)999}2\\\end{array}$$

Since 2 is less than 22, stop the division. The reminder is 2. The topmost line 0229 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 229.

$$\text{Quotient: }229 \text{Reminder: }2$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2} \cdot 5 \cdot 7}{11} = 229\frac{1}{11} = 229.0909090909091$$