Solve 645568/77

$$\frac { 645568 } { 77 }$$

Evaluate

$$8384$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 645568

$$\begin{array}{l}\phantom{77)}\phantom{1}\\77\overline{)645568}\\\end{array}$$

Since 6 is less than 77, use the next digit 4 from dividend 645568 and add 0 to the quotient

$$\begin{array}{l}\phantom{77)}0\phantom{2}\\77\overline{)645568}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 645568

$$\begin{array}{l}\phantom{77)}0\phantom{3}\\77\overline{)645568}\\\end{array}$$

Since 64 is less than 77, use the next digit 5 from dividend 645568 and add 0 to the quotient

$$\begin{array}{l}\phantom{77)}00\phantom{4}\\77\overline{)645568}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 645568

$$\begin{array}{l}\phantom{77)}00\phantom{5}\\77\overline{)645568}\\\end{array}$$

Find closest multiple of 77 to 645. We see that 8 \times 77 = 616 is the nearest. Now subtract 616 from 645 to get reminder 29. Add 8 to quotient.

$$\begin{array}{l}\phantom{77)}008\phantom{6}\\77\overline{)645568}\\\phantom{77)}\underline{\phantom{}616\phantom{999}}\\\phantom{77)9}29\\\end{array}$$

Use the 4^{th} digit 5 from dividend 645568

$$\begin{array}{l}\phantom{77)}008\phantom{7}\\77\overline{)645568}\\\phantom{77)}\underline{\phantom{}616\phantom{999}}\\\phantom{77)9}295\\\end{array}$$

Find closest multiple of 77 to 295. We see that 3 \times 77 = 231 is the nearest. Now subtract 231 from 295 to get reminder 64. Add 3 to quotient.

$$\begin{array}{l}\phantom{77)}0083\phantom{8}\\77\overline{)645568}\\\phantom{77)}\underline{\phantom{}616\phantom{999}}\\\phantom{77)9}295\\\phantom{77)}\underline{\phantom{9}231\phantom{99}}\\\phantom{77)99}64\\\end{array}$$

Use the 5^{th} digit 6 from dividend 645568

$$\begin{array}{l}\phantom{77)}0083\phantom{9}\\77\overline{)645568}\\\phantom{77)}\underline{\phantom{}616\phantom{999}}\\\phantom{77)9}295\\\phantom{77)}\underline{\phantom{9}231\phantom{99}}\\\phantom{77)99}646\\\end{array}$$

Find closest multiple of 77 to 646. We see that 8 \times 77 = 616 is the nearest. Now subtract 616 from 646 to get reminder 30. Add 8 to quotient.

$$\begin{array}{l}\phantom{77)}00838\phantom{10}\\77\overline{)645568}\\\phantom{77)}\underline{\phantom{}616\phantom{999}}\\\phantom{77)9}295\\\phantom{77)}\underline{\phantom{9}231\phantom{99}}\\\phantom{77)99}646\\\phantom{77)}\underline{\phantom{99}616\phantom{9}}\\\phantom{77)999}30\\\end{array}$$

Use the 6^{th} digit 8 from dividend 645568

$$\begin{array}{l}\phantom{77)}00838\phantom{11}\\77\overline{)645568}\\\phantom{77)}\underline{\phantom{}616\phantom{999}}\\\phantom{77)9}295\\\phantom{77)}\underline{\phantom{9}231\phantom{99}}\\\phantom{77)99}646\\\phantom{77)}\underline{\phantom{99}616\phantom{9}}\\\phantom{77)999}308\\\end{array}$$

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.

$$\begin{array}{l}\phantom{77)}008384\phantom{12}\\77\overline{)645568}\\\phantom{77)}\underline{\phantom{}616\phantom{999}}\\\phantom{77)9}295\\\phantom{77)}\underline{\phantom{9}231\phantom{99}}\\\phantom{77)99}646\\\phantom{77)}\underline{\phantom{99}616\phantom{9}}\\\phantom{77)999}308\\\phantom{77)}\underline{\phantom{999}308\phantom{}}\\\phantom{77)999999}0\\\end{array}$$

Since 0 is less than 77, stop the division. The reminder is 0. The topmost line 008384 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8384.

$$\text{Quotient: }8384 \text{Reminder: }0$$

Factor

$$2^{6}\times 131$$