Solve 8000/52

$$\frac{ 8000 }{ 52 }$$

Evaluate

$$\frac{2000}{13}\approx 153.846153846$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8000

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)8000}\\\end{array}$$

Since 8 is less than 52, use the next digit 0 from dividend 8000 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)8000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)8000}\\\end{array}$$

Find closest multiple of 52 to 80. We see that 1 \times 52 = 52 is the nearest. Now subtract 52 from 80 to get reminder 28. Add 1 to quotient.

$$\begin{array}{l}\phantom{52)}01\phantom{4}\\52\overline{)8000}\\\phantom{52)}\underline{\phantom{}52\phantom{99}}\\\phantom{52)}28\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{52)}01\phantom{5}\\52\overline{)8000}\\\phantom{52)}\underline{\phantom{}52\phantom{99}}\\\phantom{52)}280\\\end{array}$$

Find closest multiple of 52 to 280. We see that 5 \times 52 = 260 is the nearest. Now subtract 260 from 280 to get reminder 20. Add 5 to quotient.

$$\begin{array}{l}\phantom{52)}015\phantom{6}\\52\overline{)8000}\\\phantom{52)}\underline{\phantom{}52\phantom{99}}\\\phantom{52)}280\\\phantom{52)}\underline{\phantom{}260\phantom{9}}\\\phantom{52)9}20\\\end{array}$$

Use the 4^{th} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{52)}015\phantom{7}\\52\overline{)8000}\\\phantom{52)}\underline{\phantom{}52\phantom{99}}\\\phantom{52)}280\\\phantom{52)}\underline{\phantom{}260\phantom{9}}\\\phantom{52)9}200\\\end{array}$$

Find closest multiple of 52 to 200. We see that 3 \times 52 = 156 is the nearest. Now subtract 156 from 200 to get reminder 44. Add 3 to quotient.

$$\begin{array}{l}\phantom{52)}0153\phantom{8}\\52\overline{)8000}\\\phantom{52)}\underline{\phantom{}52\phantom{99}}\\\phantom{52)}280\\\phantom{52)}\underline{\phantom{}260\phantom{9}}\\\phantom{52)9}200\\\phantom{52)}\underline{\phantom{9}156\phantom{}}\\\phantom{52)99}44\\\end{array}$$

Since 44 is less than 52, stop the division. The reminder is 44. The topmost line 0153 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 153.

$$\text{Quotient: }153 \text{Reminder: }44$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{13} = 153\frac{11}{13} = 153.84615384615384$$