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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 46 · 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. 1.169883 ÷ 897 =
  2. 2.7393 ÷ 97 =
  3. 3.55782 ÷ 988 =
  4. 4.81249 ÷ 97 =
  5. 5.165572 ÷ 997 =
  6. 6.989349 ÷ 997 =
  7. 7.422 ÷ 8 =
  8. 8.630114 ÷ 997 =
  9. 9.610386 ÷ 989 =
  10. 10.26638 ÷ 97 =
  11. 11.379444 ÷ 988 =
  12. 12.260493 ÷ 897 =
  13. 13.90596 ÷ 88 =
  14. 14.271485 ÷ 897 =
  15. 15.6075 ÷ 8 =
  16. 16.211988 ÷ 988 =
  17. 17.29836 ÷ 98 =
  18. 18.581 ÷ 8 =
  19. 19.51042 ÷ 96 =
  20. 20.77026 ÷ 96 =
  21. 21.74833 ÷ 89 =
  22. 22.31005 ÷ 98 =
  23. 23.664729 ÷ 997 =
  24. 24.183900 ÷ 897 =
  25. 25.34892 ÷ 89 =
  26. 26.99060 ÷ 88 =
  27. 27.67474 ÷ 89 =
  28. 28.99436 ÷ 989 =
  29. 29.25154 ÷ 97 =
  30. 30.62556 ÷ 97 =
  31. 31.88151 ÷ 89 =
  32. 32.39326 ÷ 88 =
  33. 33.90709 ÷ 97 =
  34. 34.381309 ÷ 997 =
  35. 35.214594 ÷ 998 =
  36. 36.23358 ÷ 97 =
  37. 37.73519 ÷ 98 =
  38. 38.6667 ÷ 97 =
  39. 39.640854 ÷ 988 =
  40. 40.7237 ÷ 8 =

Answer key

  1. 189 rem 350
  2. 76 rem 21
  3. 56 rem 454
  4. 837 rem 60
  5. 166 rem 70
  6. 992 rem 325
  7. 52 rem 6
  8. 632 rem 10
  9. 617 rem 173
  10. 274 rem 60
  11. 384 rem 52
  12. 290 rem 363
  13. 1029 rem 44
  14. 302 rem 591
  15. 759 rem 3
  16. 214 rem 556
  17. 304 rem 44
  18. 72 rem 5
  19. 531 rem 66
  20. 802 rem 34
  21. 840 rem 73
  22. 316 rem 37
  23. 666 rem 727
  24. 205 rem 15
  25. 392 rem 4
  26. 1125 rem 60
  27. 758 rem 12
  28. 100 rem 536
  29. 259 rem 31
  30. 644 rem 88
  31. 990 rem 41
  32. 446 rem 78
  33. 935 rem 14
  34. 382 rem 455
  35. 215 rem 24
  36. 240 rem 78
  37. 750 rem 19
  38. 68 rem 71
  39. 648 rem 630
  40. 904 rem 5

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