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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 117 · 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. 1.662022 ÷ 989 =
  2. 2.5572 ÷ 8 =
  3. 3.15115 ÷ 98 =
  4. 4.96512 ÷ 88 =
  5. 5.42400 ÷ 897 =
  6. 6.3853 ÷ 8 =
  7. 7.29755 ÷ 96 =
  8. 8.2653 ÷ 8 =
  9. 9.155930 ÷ 998 =
  10. 10.331333 ÷ 988 =
  11. 11.91122 ÷ 89 =
  12. 12.131979 ÷ 897 =
  13. 13.43597 ÷ 96 =
  14. 14.169702 ÷ 998 =
  15. 15.60877 ÷ 98 =
  16. 16.34755 ÷ 88 =
  17. 17.92318 ÷ 96 =
  18. 18.848944 ÷ 989 =
  19. 19.354308 ÷ 989 =
  20. 20.29498 ÷ 97 =
  21. 21.5595 ÷ 8 =
  22. 22.12760 ÷ 97 =
  23. 23.1195 ÷ 8 =
  24. 24.506898 ÷ 989 =
  25. 25.35108 ÷ 97 =
  26. 26.11852 ÷ 89 =
  27. 27.48057 ÷ 96 =
  28. 28.53905 ÷ 98 =
  29. 29.3967 ÷ 8 =
  30. 30.567228 ÷ 988 =
  31. 31.11688 ÷ 88 =
  32. 32.72258 ÷ 96 =
  33. 33.336423 ÷ 989 =
  34. 34.55600 ÷ 997 =
  35. 35.886188 ÷ 988 =
  36. 36.219762 ÷ 998 =
  37. 37.55723 ÷ 88 =
  38. 38.17485 ÷ 97 =
  39. 39.63067 ÷ 97 =
  40. 40.69108 ÷ 97 =

Answer key

  1. 669 rem 381
  2. 696 rem 4
  3. 154 rem 23
  4. 1096 rem 64
  5. 47 rem 241
  6. 481 rem 5
  7. 309 rem 91
  8. 331 rem 5
  9. 156 rem 242
  10. 335 rem 353
  11. 1023 rem 75
  12. 147 rem 120
  13. 454 rem 13
  14. 170 rem 42
  15. 621 rem 19
  16. 394 rem 83
  17. 961 rem 62
  18. 858 rem 382
  19. 358 rem 246
  20. 304 rem 10
  21. 699 rem 3
  22. 131 rem 53
  23. 149 rem 3
  24. 512 rem 530
  25. 361 rem 91
  26. 133 rem 15
  27. 500 rem 57
  28. 550 rem 5
  29. 495 rem 7
  30. 574 rem 116
  31. 132 rem 72
  32. 752 rem 66
  33. 340 rem 163
  34. 55 rem 765
  35. 896 rem 940
  36. 220 rem 202
  37. 633 rem 19
  38. 180 rem 25
  39. 650 rem 17
  40. 712 rem 44

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