Solve 4125/16

$$\frac { 4125 } { 16 }$$

Evaluate

$$\frac{4125}{16}=257.8125$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4125

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)4125}\\\end{array}$$

Since 4 is less than 16, use the next digit 1 from dividend 4125 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)4125}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 4125

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)4125}\\\end{array}$$

Find closest multiple of 16 to 41. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 41 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)4125}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)9}9\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 4125

$$\begin{array}{l}\phantom{16)}02\phantom{5}\\16\overline{)4125}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)9}92\\\end{array}$$

Find closest multiple of 16 to 92. We see that 5 \times 16 = 80 is the nearest. Now subtract 80 from 92 to get reminder 12. Add 5 to quotient.

$$\begin{array}{l}\phantom{16)}025\phantom{6}\\16\overline{)4125}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)9}92\\\phantom{16)}\underline{\phantom{9}80\phantom{9}}\\\phantom{16)9}12\\\end{array}$$

Use the 4^{th} digit 5 from dividend 4125

$$\begin{array}{l}\phantom{16)}025\phantom{7}\\16\overline{)4125}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)9}92\\\phantom{16)}\underline{\phantom{9}80\phantom{9}}\\\phantom{16)9}125\\\end{array}$$

Find closest multiple of 16 to 125. We see that 7 \times 16 = 112 is the nearest. Now subtract 112 from 125 to get reminder 13. Add 7 to quotient.

$$\begin{array}{l}\phantom{16)}0257\phantom{8}\\16\overline{)4125}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)9}92\\\phantom{16)}\underline{\phantom{9}80\phantom{9}}\\\phantom{16)9}125\\\phantom{16)}\underline{\phantom{9}112\phantom{}}\\\phantom{16)99}13\\\end{array}$$

Since 13 is less than 16, stop the division. The reminder is 13. The topmost line 0257 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 257.

$$\text{Quotient: }257 \text{Reminder: }13$$

Factor

$$\frac{3 \cdot 5 ^ {3} \cdot 11}{2 ^ {4}} = 257\frac{13}{16} = 257.8125$$