Solve 1078/22

$$\frac { 1078 } { 22 }$$

Evaluate

$$49$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1078

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)1078}\\\end{array}$$

Since 1 is less than 22, use the next digit 0 from dividend 1078 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)1078}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1078

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)1078}\\\end{array}$$

Since 10 is less than 22, use the next digit 7 from dividend 1078 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}00\phantom{4}\\22\overline{)1078}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1078

$$\begin{array}{l}\phantom{22)}00\phantom{5}\\22\overline{)1078}\\\end{array}$$

Find closest multiple of 22 to 107. We see that 4 \times 22 = 88 is the nearest. Now subtract 88 from 107 to get reminder 19. Add 4 to quotient.

$$\begin{array}{l}\phantom{22)}004\phantom{6}\\22\overline{)1078}\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}19\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1078

$$\begin{array}{l}\phantom{22)}004\phantom{7}\\22\overline{)1078}\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}198\\\end{array}$$

Find closest multiple of 22 to 198. We see that 9 \times 22 = 198 is the nearest. Now subtract 198 from 198 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{22)}0049\phantom{8}\\22\overline{)1078}\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}198\\\phantom{22)}\underline{\phantom{9}198\phantom{}}\\\phantom{22)9999}0\\\end{array}$$

Since 0 is less than 22, stop the division. The reminder is 0. The topmost line 0049 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 49.

$$\text{Quotient: }49 \text{Reminder: }0$$

Factor

$$7^{2}$$