Solve 38808div91

$$38808 \div 91$$

Evaluate

$$\frac{5544}{13}\approx 426.461538462$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 38808

$$\begin{array}{l}\phantom{91)}\phantom{1}\\91\overline{)38808}\\\end{array}$$

Since 3 is less than 91, use the next digit 8 from dividend 38808 and add 0 to the quotient

$$\begin{array}{l}\phantom{91)}0\phantom{2}\\91\overline{)38808}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 38808

$$\begin{array}{l}\phantom{91)}0\phantom{3}\\91\overline{)38808}\\\end{array}$$

Since 38 is less than 91, use the next digit 8 from dividend 38808 and add 0 to the quotient

$$\begin{array}{l}\phantom{91)}00\phantom{4}\\91\overline{)38808}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 38808

$$\begin{array}{l}\phantom{91)}00\phantom{5}\\91\overline{)38808}\\\end{array}$$

Find closest multiple of 91 to 388. We see that 4 \times 91 = 364 is the nearest. Now subtract 364 from 388 to get reminder 24. Add 4 to quotient.

$$\begin{array}{l}\phantom{91)}004\phantom{6}\\91\overline{)38808}\\\phantom{91)}\underline{\phantom{}364\phantom{99}}\\\phantom{91)9}24\\\end{array}$$

Use the 4^{th} digit 0 from dividend 38808

$$\begin{array}{l}\phantom{91)}004\phantom{7}\\91\overline{)38808}\\\phantom{91)}\underline{\phantom{}364\phantom{99}}\\\phantom{91)9}240\\\end{array}$$

Find closest multiple of 91 to 240. We see that 2 \times 91 = 182 is the nearest. Now subtract 182 from 240 to get reminder 58. Add 2 to quotient.

$$\begin{array}{l}\phantom{91)}0042\phantom{8}\\91\overline{)38808}\\\phantom{91)}\underline{\phantom{}364\phantom{99}}\\\phantom{91)9}240\\\phantom{91)}\underline{\phantom{9}182\phantom{9}}\\\phantom{91)99}58\\\end{array}$$

Use the 5^{th} digit 8 from dividend 38808

$$\begin{array}{l}\phantom{91)}0042\phantom{9}\\91\overline{)38808}\\\phantom{91)}\underline{\phantom{}364\phantom{99}}\\\phantom{91)9}240\\\phantom{91)}\underline{\phantom{9}182\phantom{9}}\\\phantom{91)99}588\\\end{array}$$

Find closest multiple of 91 to 588. We see that 6 \times 91 = 546 is the nearest. Now subtract 546 from 588 to get reminder 42. Add 6 to quotient.

$$\begin{array}{l}\phantom{91)}00426\phantom{10}\\91\overline{)38808}\\\phantom{91)}\underline{\phantom{}364\phantom{99}}\\\phantom{91)9}240\\\phantom{91)}\underline{\phantom{9}182\phantom{9}}\\\phantom{91)99}588\\\phantom{91)}\underline{\phantom{99}546\phantom{}}\\\phantom{91)999}42\\\end{array}$$

Since 42 is less than 91, stop the division. The reminder is 42. The topmost line 00426 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 426.

$$\text{Quotient: }426 \text{Reminder: }42$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2} \cdot 7 \cdot 11}{13} = 426\frac{6}{13} = 426.46153846153845$$