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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 196 · 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. 1.395746 ÷ 897 =
  2. 2.948673 ÷ 997 =
  3. 3.960764 ÷ 997 =
  4. 4.104051 ÷ 988 =
  5. 5.334924 ÷ 998 =
  6. 6.230713 ÷ 998 =
  7. 7.41241 ÷ 89 =
  8. 8.248192 ÷ 897 =
  9. 9.58601 ÷ 897 =
  10. 10.42219 ÷ 88 =
  11. 11.70681 ÷ 897 =
  12. 12.97228 ÷ 88 =
  13. 13.976248 ÷ 988 =
  14. 14.912233 ÷ 989 =
  15. 15.666728 ÷ 998 =
  16. 16.23717 ÷ 98 =
  17. 17.8654 ÷ 96 =
  18. 18.44906 ÷ 89 =
  19. 19.137689 ÷ 997 =
  20. 20.5735 ÷ 98 =
  21. 21.253530 ÷ 998 =
  22. 22.29478 ÷ 98 =
  23. 23.72804 ÷ 96 =
  24. 24.2599 ÷ 8 =
  25. 25.72457 ÷ 98 =
  26. 26.42811 ÷ 88 =
  27. 27.13050 ÷ 89 =
  28. 28.454296 ÷ 897 =
  29. 29.77113 ÷ 96 =
  30. 30.79444 ÷ 88 =
  31. 31.76667 ÷ 97 =
  32. 32.480764 ÷ 997 =
  33. 33.460527 ÷ 988 =
  34. 34.3662 ÷ 8 =
  35. 35.82014 ÷ 98 =
  36. 36.2216 ÷ 8 =
  37. 37.90196 ÷ 96 =
  38. 38.96518 ÷ 96 =
  39. 39.23009 ÷ 97 =
  40. 40.490220 ÷ 997 =

Answer key

  1. 441 rem 169
  2. 951 rem 526
  3. 963 rem 653
  4. 105 rem 311
  5. 335 rem 594
  6. 231 rem 175
  7. 463 rem 34
  8. 276 rem 620
  9. 65 rem 296
  10. 479 rem 67
  11. 78 rem 715
  12. 1104 rem 76
  13. 988 rem 104
  14. 922 rem 375
  15. 668 rem 64
  16. 242 rem 1
  17. 90 rem 14
  18. 504 rem 50
  19. 138 rem 103
  20. 58 rem 51
  21. 254 rem 38
  22. 300 rem 78
  23. 758 rem 36
  24. 324 rem 7
  25. 739 rem 35
  26. 486 rem 43
  27. 146 rem 56
  28. 506 rem 414
  29. 803 rem 25
  30. 902 rem 68
  31. 790 rem 37
  32. 482 rem 210
  33. 466 rem 119
  34. 457 rem 6
  35. 836 rem 86
  36. 277 rem 0
  37. 939 rem 52
  38. 1005 rem 38
  39. 237 rem 20
  40. 491 rem 693

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