Solve 51854div22

$$51854 \div 22$$

Evaluate

$$2357$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 51854

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)51854}\\\end{array}$$

Since 5 is less than 22, use the next digit 1 from dividend 51854 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)51854}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 51854

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)51854}\\\end{array}$$

Find closest multiple of 22 to 51. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 51 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{22)}02\phantom{4}\\22\overline{)51854}\\\phantom{22)}\underline{\phantom{}44\phantom{999}}\\\phantom{22)9}7\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 51854

$$\begin{array}{l}\phantom{22)}02\phantom{5}\\22\overline{)51854}\\\phantom{22)}\underline{\phantom{}44\phantom{999}}\\\phantom{22)9}78\\\end{array}$$

Find closest multiple of 22 to 78. We see that 3 \times 22 = 66 is the nearest. Now subtract 66 from 78 to get reminder 12. Add 3 to quotient.

$$\begin{array}{l}\phantom{22)}023\phantom{6}\\22\overline{)51854}\\\phantom{22)}\underline{\phantom{}44\phantom{999}}\\\phantom{22)9}78\\\phantom{22)}\underline{\phantom{9}66\phantom{99}}\\\phantom{22)9}12\\\end{array}$$

Use the 4^{th} digit 5 from dividend 51854

$$\begin{array}{l}\phantom{22)}023\phantom{7}\\22\overline{)51854}\\\phantom{22)}\underline{\phantom{}44\phantom{999}}\\\phantom{22)9}78\\\phantom{22)}\underline{\phantom{9}66\phantom{99}}\\\phantom{22)9}125\\\end{array}$$

Find closest multiple of 22 to 125. We see that 5 \times 22 = 110 is the nearest. Now subtract 110 from 125 to get reminder 15. Add 5 to quotient.

$$\begin{array}{l}\phantom{22)}0235\phantom{8}\\22\overline{)51854}\\\phantom{22)}\underline{\phantom{}44\phantom{999}}\\\phantom{22)9}78\\\phantom{22)}\underline{\phantom{9}66\phantom{99}}\\\phantom{22)9}125\\\phantom{22)}\underline{\phantom{9}110\phantom{9}}\\\phantom{22)99}15\\\end{array}$$

Use the 5^{th} digit 4 from dividend 51854

$$\begin{array}{l}\phantom{22)}0235\phantom{9}\\22\overline{)51854}\\\phantom{22)}\underline{\phantom{}44\phantom{999}}\\\phantom{22)9}78\\\phantom{22)}\underline{\phantom{9}66\phantom{99}}\\\phantom{22)9}125\\\phantom{22)}\underline{\phantom{9}110\phantom{9}}\\\phantom{22)99}154\\\end{array}$$

Find closest multiple of 22 to 154. We see that 7 \times 22 = 154 is the nearest. Now subtract 154 from 154 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{22)}02357\phantom{10}\\22\overline{)51854}\\\phantom{22)}\underline{\phantom{}44\phantom{999}}\\\phantom{22)9}78\\\phantom{22)}\underline{\phantom{9}66\phantom{99}}\\\phantom{22)9}125\\\phantom{22)}\underline{\phantom{9}110\phantom{9}}\\\phantom{22)99}154\\\phantom{22)}\underline{\phantom{99}154\phantom{}}\\\phantom{22)99999}0\\\end{array}$$

Since 0 is less than 22, stop the division. The reminder is 0. The topmost line 02357 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2357.

$$\text{Quotient: }2357 \text{Reminder: }0$$

Factor

$$2357$$