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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 825 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.9802 ÷ 8 =
  2. 2.87941 ÷ 98 =
  3. 3.631903 ÷ 998 =
  4. 4.1208 ÷ 8 =
  5. 5.662706 ÷ 988 =
  6. 6.154088 ÷ 988 =
  7. 7.25877 ÷ 97 =
  8. 8.494836 ÷ 988 =
  9. 9.73401 ÷ 998 =
  10. 10.79732 ÷ 88 =
  11. 11.703255 ÷ 997 =
  12. 12.66198 ÷ 98 =
  13. 13.1903 ÷ 8 =
  14. 14.61070 ÷ 96 =
  15. 15.153061 ÷ 989 =
  16. 16.589814 ÷ 998 =
  17. 17.70284 ÷ 88 =
  18. 18.41800 ÷ 998 =
  19. 19.30674 ÷ 897 =
  20. 20.367289 ÷ 989 =
  21. 21.64033 ÷ 96 =
  22. 22.316980 ÷ 897 =
  23. 23.71888 ÷ 98 =
  24. 24.36559 ÷ 96 =
  25. 25.324120 ÷ 988 =
  26. 26.5605 ÷ 97 =
  27. 27.684272 ÷ 998 =
  28. 28.821787 ÷ 997 =
  29. 29.82473 ÷ 98 =
  30. 30.32865 ÷ 897 =
  31. 31.518833 ÷ 988 =
  32. 32.65290 ÷ 97 =
  33. 33.992364 ÷ 897 =
  34. 34.68279 ÷ 88 =
  35. 35.41204 ÷ 96 =
  36. 36.91018 ÷ 96 =
  37. 37.93897 ÷ 96 =
  38. 38.97399 ÷ 98 =
  39. 39.9009 ÷ 8 =
  40. 40.75230 ÷ 97 =

Answer key

  1. 1225 rem 2
  2. 897 rem 35
  3. 633 rem 169
  4. 151 rem 0
  5. 670 rem 746
  6. 155 rem 948
  7. 266 rem 75
  8. 500 rem 836
  9. 73 rem 547
  10. 906 rem 4
  11. 705 rem 370
  12. 675 rem 48
  13. 237 rem 7
  14. 636 rem 14
  15. 154 rem 755
  16. 590 rem 994
  17. 798 rem 60
  18. 41 rem 882
  19. 34 rem 176
  20. 371 rem 370
  21. 667 rem 1
  22. 353 rem 339
  23. 733 rem 54
  24. 380 rem 79
  25. 328 rem 56
  26. 57 rem 76
  27. 685 rem 642
  28. 824 rem 259
  29. 841 rem 55
  30. 36 rem 573
  31. 525 rem 133
  32. 673 rem 9
  33. 1106 rem 282
  34. 775 rem 79
  35. 429 rem 20
  36. 948 rem 10
  37. 978 rem 9
  38. 993 rem 85
  39. 1126 rem 1
  40. 775 rem 55

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