Solve 7426/22

$$\frac{ 7426 }{ 22 }$$

Evaluate

$$\frac{3713}{11}\approx 337.545454545$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7426

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)7426}\\\end{array}$$

Since 7 is less than 22, use the next digit 4 from dividend 7426 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)7426}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 7426

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)7426}\\\end{array}$$

Find closest multiple of 22 to 74. We see that 3 \times 22 = 66 is the nearest. Now subtract 66 from 74 to get reminder 8. Add 3 to quotient.

$$\begin{array}{l}\phantom{22)}03\phantom{4}\\22\overline{)7426}\\\phantom{22)}\underline{\phantom{}66\phantom{99}}\\\phantom{22)9}8\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 7426

$$\begin{array}{l}\phantom{22)}03\phantom{5}\\22\overline{)7426}\\\phantom{22)}\underline{\phantom{}66\phantom{99}}\\\phantom{22)9}82\\\end{array}$$

Find closest multiple of 22 to 82. We see that 3 \times 22 = 66 is the nearest. Now subtract 66 from 82 to get reminder 16. Add 3 to quotient.

$$\begin{array}{l}\phantom{22)}033\phantom{6}\\22\overline{)7426}\\\phantom{22)}\underline{\phantom{}66\phantom{99}}\\\phantom{22)9}82\\\phantom{22)}\underline{\phantom{9}66\phantom{9}}\\\phantom{22)9}16\\\end{array}$$

Use the 4^{th} digit 6 from dividend 7426

$$\begin{array}{l}\phantom{22)}033\phantom{7}\\22\overline{)7426}\\\phantom{22)}\underline{\phantom{}66\phantom{99}}\\\phantom{22)9}82\\\phantom{22)}\underline{\phantom{9}66\phantom{9}}\\\phantom{22)9}166\\\end{array}$$

Find closest multiple of 22 to 166. We see that 7 \times 22 = 154 is the nearest. Now subtract 154 from 166 to get reminder 12. Add 7 to quotient.

$$\begin{array}{l}\phantom{22)}0337\phantom{8}\\22\overline{)7426}\\\phantom{22)}\underline{\phantom{}66\phantom{99}}\\\phantom{22)9}82\\\phantom{22)}\underline{\phantom{9}66\phantom{9}}\\\phantom{22)9}166\\\phantom{22)}\underline{\phantom{9}154\phantom{}}\\\phantom{22)99}12\\\end{array}$$

Since 12 is less than 22, stop the division. The reminder is 12. The topmost line 0337 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 337.

$$\text{Quotient: }337 \text{Reminder: }12$$

Factor

$$\frac{47 \cdot 79}{11} = 337\frac{6}{11} = 337.54545454545456$$