Solve 5148:22

$$5148 : 22$$

Evaluate

$$234$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5148

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)5148}\\\end{array}$$

Since 5 is less than 22, use the next digit 1 from dividend 5148 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)5148}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 5148

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)5148}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{22)}02\phantom{4}\\22\overline{)5148}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)9}7\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 5148

$$\begin{array}{l}\phantom{22)}02\phantom{5}\\22\overline{)5148}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)9}74\\\end{array}$$

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.

$$\begin{array}{l}\phantom{22)}023\phantom{6}\\22\overline{)5148}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)9}74\\\phantom{22)}\underline{\phantom{9}66\phantom{9}}\\\phantom{22)99}8\\\end{array}$$

Use the 4^{th} digit 8 from dividend 5148

$$\begin{array}{l}\phantom{22)}023\phantom{7}\\22\overline{)5148}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)9}74\\\phantom{22)}\underline{\phantom{9}66\phantom{9}}\\\phantom{22)99}88\\\end{array}$$

Find closest multiple of 22 to 88. We see that 4 \times 22 = 88 is the nearest. Now subtract 88 from 88 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{22)}0234\phantom{8}\\22\overline{)5148}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)9}74\\\phantom{22)}\underline{\phantom{9}66\phantom{9}}\\\phantom{22)99}88\\\phantom{22)}\underline{\phantom{99}88\phantom{}}\\\phantom{22)9999}0\\\end{array}$$

Since 0 is less than 22, stop the division. The reminder is 0. The topmost line 0234 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 234.

$$\text{Quotient: }234 \text{Reminder: }0$$

Factor

$$2\times 3^{2}\times 13$$