Solve 3451:25

$$3451 : 25$$

Evaluate

$$\frac{3451}{25}=138.04$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3451

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)3451}\\\end{array}$$

Since 3 is less than 25, use the next digit 4 from dividend 3451 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)3451}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3451

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)3451}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)3451}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}9\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3451

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)3451}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}95\\\end{array}$$

Find closest multiple of 25 to 95. We see that 3 \times 25 = 75 is the nearest. Now subtract 75 from 95 to get reminder 20. Add 3 to quotient.

$$\begin{array}{l}\phantom{25)}013\phantom{6}\\25\overline{)3451}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}95\\\phantom{25)}\underline{\phantom{9}75\phantom{9}}\\\phantom{25)9}20\\\end{array}$$

Use the 4^{th} digit 1 from dividend 3451

$$\begin{array}{l}\phantom{25)}013\phantom{7}\\25\overline{)3451}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}95\\\phantom{25)}\underline{\phantom{9}75\phantom{9}}\\\phantom{25)9}201\\\end{array}$$

Find closest multiple of 25 to 201. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 201 to get reminder 1. Add 8 to quotient.

$$\begin{array}{l}\phantom{25)}0138\phantom{8}\\25\overline{)3451}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}95\\\phantom{25)}\underline{\phantom{9}75\phantom{9}}\\\phantom{25)9}201\\\phantom{25)}\underline{\phantom{9}200\phantom{}}\\\phantom{25)999}1\\\end{array}$$

Since 1 is less than 25, stop the division. The reminder is 1. The topmost line 0138 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 138.

$$\text{Quotient: }138 \text{Reminder: }1$$

Factor

$$\frac{7 \cdot 17 \cdot 29}{5 ^ {2}} = 138\frac{1}{25} = 138.04$$