Solve 3,584div256=

$$3,584 \div 256 =$$

Evaluate

$$14$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3584

$$\begin{array}{l}\phantom{256)}\phantom{1}\\256\overline{)3584}\\\end{array}$$

Since 3 is less than 256, use the next digit 5 from dividend 3584 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}0\phantom{2}\\256\overline{)3584}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 3584

$$\begin{array}{l}\phantom{256)}0\phantom{3}\\256\overline{)3584}\\\end{array}$$

Since 35 is less than 256, use the next digit 8 from dividend 3584 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}00\phantom{4}\\256\overline{)3584}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 3584

$$\begin{array}{l}\phantom{256)}00\phantom{5}\\256\overline{)3584}\\\end{array}$$

Find closest multiple of 256 to 358. We see that 1 \times 256 = 256 is the nearest. Now subtract 256 from 358 to get reminder 102. Add 1 to quotient.

$$\begin{array}{l}\phantom{256)}001\phantom{6}\\256\overline{)3584}\\\phantom{256)}\underline{\phantom{}256\phantom{9}}\\\phantom{256)}102\\\end{array}$$

Use the 4^{th} digit 4 from dividend 3584

$$\begin{array}{l}\phantom{256)}001\phantom{7}\\256\overline{)3584}\\\phantom{256)}\underline{\phantom{}256\phantom{9}}\\\phantom{256)}1024\\\end{array}$$

Find closest multiple of 256 to 1024. We see that 4 \times 256 = 1024 is the nearest. Now subtract 1024 from 1024 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{256)}0014\phantom{8}\\256\overline{)3584}\\\phantom{256)}\underline{\phantom{}256\phantom{9}}\\\phantom{256)}1024\\\phantom{256)}\underline{\phantom{}1024\phantom{}}\\\phantom{256)9999}0\\\end{array}$$

Since 0 is less than 256, stop the division. The reminder is 0. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }0$$

Factor

$$2\times 7$$