Solve 1600div64

$$1600 \div 64$$

Evaluate

$$25$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1600

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)1600}\\\end{array}$$

Since 1 is less than 64, use the next digit 6 from dividend 1600 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)1600}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1600

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)1600}\\\end{array}$$

Since 16 is less than 64, use the next digit 0 from dividend 1600 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)1600}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1600

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)1600}\\\end{array}$$

Find closest multiple of 64 to 160. We see that 2 \times 64 = 128 is the nearest. Now subtract 128 from 160 to get reminder 32. Add 2 to quotient.

$$\begin{array}{l}\phantom{64)}002\phantom{6}\\64\overline{)1600}\\\phantom{64)}\underline{\phantom{}128\phantom{9}}\\\phantom{64)9}32\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1600

$$\begin{array}{l}\phantom{64)}002\phantom{7}\\64\overline{)1600}\\\phantom{64)}\underline{\phantom{}128\phantom{9}}\\\phantom{64)9}320\\\end{array}$$

Find closest multiple of 64 to 320. We see that 5 \times 64 = 320 is the nearest. Now subtract 320 from 320 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{64)}0025\phantom{8}\\64\overline{)1600}\\\phantom{64)}\underline{\phantom{}128\phantom{9}}\\\phantom{64)9}320\\\phantom{64)}\underline{\phantom{9}320\phantom{}}\\\phantom{64)9999}0\\\end{array}$$

Since 0 is less than 64, stop the division. The reminder is 0. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.

$$\text{Quotient: }25 \text{Reminder: }0$$

Factor

$$5^{2}$$