Solve 46816div2145

$$46816 \div 2145$$

Evaluate

$$\frac{4256}{195}\approx 21.825641026$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 46816

$$\begin{array}{l}\phantom{2145)}\phantom{1}\\2145\overline{)46816}\\\end{array}$$

Since 4 is less than 2145, use the next digit 6 from dividend 46816 and add 0 to the quotient

$$\begin{array}{l}\phantom{2145)}0\phantom{2}\\2145\overline{)46816}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 46816

$$\begin{array}{l}\phantom{2145)}0\phantom{3}\\2145\overline{)46816}\\\end{array}$$

Since 46 is less than 2145, use the next digit 8 from dividend 46816 and add 0 to the quotient

$$\begin{array}{l}\phantom{2145)}00\phantom{4}\\2145\overline{)46816}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 46816

$$\begin{array}{l}\phantom{2145)}00\phantom{5}\\2145\overline{)46816}\\\end{array}$$

Since 468 is less than 2145, use the next digit 1 from dividend 46816 and add 0 to the quotient

$$\begin{array}{l}\phantom{2145)}000\phantom{6}\\2145\overline{)46816}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 46816

$$\begin{array}{l}\phantom{2145)}000\phantom{7}\\2145\overline{)46816}\\\end{array}$$

Find closest multiple of 2145 to 4681. We see that 2 \times 2145 = 4290 is the nearest. Now subtract 4290 from 4681 to get reminder 391. Add 2 to quotient.

$$\begin{array}{l}\phantom{2145)}0002\phantom{8}\\2145\overline{)46816}\\\phantom{2145)}\underline{\phantom{}4290\phantom{9}}\\\phantom{2145)9}391\\\end{array}$$

Use the 5^{th} digit 6 from dividend 46816

$$\begin{array}{l}\phantom{2145)}0002\phantom{9}\\2145\overline{)46816}\\\phantom{2145)}\underline{\phantom{}4290\phantom{9}}\\\phantom{2145)9}3916\\\end{array}$$

Find closest multiple of 2145 to 3916. We see that 1 \times 2145 = 2145 is the nearest. Now subtract 2145 from 3916 to get reminder 1771. Add 1 to quotient.

$$\begin{array}{l}\phantom{2145)}00021\phantom{10}\\2145\overline{)46816}\\\phantom{2145)}\underline{\phantom{}4290\phantom{9}}\\\phantom{2145)9}3916\\\phantom{2145)}\underline{\phantom{9}2145\phantom{}}\\\phantom{2145)9}1771\\\end{array}$$

Since 1771 is less than 2145, stop the division. The reminder is 1771. The topmost line 00021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }1771$$

Factor

$$\frac{2 ^ {5} \cdot 7 \cdot 19}{3 \cdot 5 \cdot 13} = 21\frac{161}{195} = 21.825641025641026$$