Solve 3953div777=

$$3953 \div 777=$$

Evaluate

$$\frac{3953}{777}\approx 5.087516088$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3953

$$\begin{array}{l}\phantom{777)}\phantom{1}\\777\overline{)3953}\\\end{array}$$

Since 3 is less than 777, use the next digit 9 from dividend 3953 and add 0 to the quotient

$$\begin{array}{l}\phantom{777)}0\phantom{2}\\777\overline{)3953}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 3953

$$\begin{array}{l}\phantom{777)}0\phantom{3}\\777\overline{)3953}\\\end{array}$$

Since 39 is less than 777, use the next digit 5 from dividend 3953 and add 0 to the quotient

$$\begin{array}{l}\phantom{777)}00\phantom{4}\\777\overline{)3953}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3953

$$\begin{array}{l}\phantom{777)}00\phantom{5}\\777\overline{)3953}\\\end{array}$$

Since 395 is less than 777, use the next digit 3 from dividend 3953 and add 0 to the quotient

$$\begin{array}{l}\phantom{777)}000\phantom{6}\\777\overline{)3953}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 3953

$$\begin{array}{l}\phantom{777)}000\phantom{7}\\777\overline{)3953}\\\end{array}$$

Find closest multiple of 777 to 3953. We see that 5 \times 777 = 3885 is the nearest. Now subtract 3885 from 3953 to get reminder 68. Add 5 to quotient.

$$\begin{array}{l}\phantom{777)}0005\phantom{8}\\777\overline{)3953}\\\phantom{777)}\underline{\phantom{}3885\phantom{}}\\\phantom{777)99}68\\\end{array}$$

Since 68 is less than 777, stop the division. The reminder is 68. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }68$$

Factor

$$\frac{59 \cdot 67}{3 \cdot 7 \cdot 37} = 5\frac{68}{777} = 5.087516087516088$$