Solve 5796div22

$$5796 \div 22$$

Evaluate

$$\frac{2898}{11}\approx 263.454545455$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5796

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)5796}\\\end{array}$$

Since 5 is less than 22, use the next digit 7 from dividend 5796 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)5796}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 5796

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)5796}\\\end{array}$$

Find closest multiple of 22 to 57. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 57 to get reminder 13. Add 2 to quotient.

$$\begin{array}{l}\phantom{22)}02\phantom{4}\\22\overline{)5796}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)}13\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 5796

$$\begin{array}{l}\phantom{22)}02\phantom{5}\\22\overline{)5796}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)}139\\\end{array}$$

Find closest multiple of 22 to 139. We see that 6 \times 22 = 132 is the nearest. Now subtract 132 from 139 to get reminder 7. Add 6 to quotient.

$$\begin{array}{l}\phantom{22)}026\phantom{6}\\22\overline{)5796}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)}139\\\phantom{22)}\underline{\phantom{}132\phantom{9}}\\\phantom{22)99}7\\\end{array}$$

Use the 4^{th} digit 6 from dividend 5796

$$\begin{array}{l}\phantom{22)}026\phantom{7}\\22\overline{)5796}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)}139\\\phantom{22)}\underline{\phantom{}132\phantom{9}}\\\phantom{22)99}76\\\end{array}$$

Find closest multiple of 22 to 76. We see that 3 \times 22 = 66 is the nearest. Now subtract 66 from 76 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{22)}0263\phantom{8}\\22\overline{)5796}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)}139\\\phantom{22)}\underline{\phantom{}132\phantom{9}}\\\phantom{22)99}76\\\phantom{22)}\underline{\phantom{99}66\phantom{}}\\\phantom{22)99}10\\\end{array}$$

Since 10 is less than 22, stop the division. The reminder is 10. The topmost line 0263 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 263.

$$\text{Quotient: }263 \text{Reminder: }10$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 7 \cdot 23}{11} = 263\frac{5}{11} = 263.45454545454544$$