Solve 1078/77

$$\frac { 1078 } { 77 }$$

Evaluate

$$14$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{77)}\phantom{1}\\77\overline{)1078}\\\end{array}$$

Since 1 is less than 77, use the next digit 0 from dividend 1078 and add 0 to the quotient

$$\begin{array}{l}\phantom{77)}0\phantom{2}\\77\overline{)1078}\\\end{array}$$

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

$$\begin{array}{l}\phantom{77)}0\phantom{3}\\77\overline{)1078}\\\end{array}$$

Since 10 is less than 77, use the next digit 7 from dividend 1078 and add 0 to the quotient

$$\begin{array}{l}\phantom{77)}00\phantom{4}\\77\overline{)1078}\\\end{array}$$

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

$$\begin{array}{l}\phantom{77)}00\phantom{5}\\77\overline{)1078}\\\end{array}$$

Find closest multiple of 77 to 107. We see that 1 \times 77 = 77 is the nearest. Now subtract 77 from 107 to get reminder 30. Add 1 to quotient.

$$\begin{array}{l}\phantom{77)}001\phantom{6}\\77\overline{)1078}\\\phantom{77)}\underline{\phantom{9}77\phantom{9}}\\\phantom{77)9}30\\\end{array}$$

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

$$\begin{array}{l}\phantom{77)}001\phantom{7}\\77\overline{)1078}\\\phantom{77)}\underline{\phantom{9}77\phantom{9}}\\\phantom{77)9}308\\\end{array}$$

Find closest multiple of 77 to 308. We see that 4 \times 77 = 308 is the nearest. Now subtract 308 from 308 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{77)}0014\phantom{8}\\77\overline{)1078}\\\phantom{77)}\underline{\phantom{9}77\phantom{9}}\\\phantom{77)9}308\\\phantom{77)}\underline{\phantom{9}308\phantom{}}\\\phantom{77)9999}0\\\end{array}$$

Since 0 is less than 77, stop the division. The reminder is 0. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }0$$

Factor

$$2\times 7$$