Solve 3400div25

$$3400 \div 25$$

Evaluate

$$136$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3400

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)3400}\\\end{array}$$

Since 3 is less than 25, use the next digit 4 from dividend 3400 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)3400}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3400

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)3400}\\\end{array}$$

Find closest multiple of 25 to 34. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 34 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)3400}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}9\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3400

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)3400}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}90\\\end{array}$$

Find closest multiple of 25 to 90. We see that 3 \times 25 = 75 is the nearest. Now subtract 75 from 90 to get reminder 15. Add 3 to quotient.

$$\begin{array}{l}\phantom{25)}013\phantom{6}\\25\overline{)3400}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}90\\\phantom{25)}\underline{\phantom{9}75\phantom{9}}\\\phantom{25)9}15\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3400

$$\begin{array}{l}\phantom{25)}013\phantom{7}\\25\overline{)3400}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}90\\\phantom{25)}\underline{\phantom{9}75\phantom{9}}\\\phantom{25)9}150\\\end{array}$$

Find closest multiple of 25 to 150. We see that 6 \times 25 = 150 is the nearest. Now subtract 150 from 150 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{25)}0136\phantom{8}\\25\overline{)3400}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}90\\\phantom{25)}\underline{\phantom{9}75\phantom{9}}\\\phantom{25)9}150\\\phantom{25)}\underline{\phantom{9}150\phantom{}}\\\phantom{25)9999}0\\\end{array}$$

Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 0136 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 136.

$$\text{Quotient: }136 \text{Reminder: }0$$

Factor

$$2^{3}\times 17$$