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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 64 · 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. 1.771088 ÷ 998 =
  2. 2.4222 ÷ 8 =
  3. 3.25060 ÷ 997 =
  4. 4.7659 ÷ 88 =
  5. 5.20256 ÷ 88 =
  6. 6.5697 ÷ 8 =
  7. 7.36136 ÷ 97 =
  8. 8.58195 ÷ 98 =
  9. 9.54664 ÷ 89 =
  10. 10.233642 ÷ 988 =
  11. 11.43328 ÷ 98 =
  12. 12.2387 ÷ 8 =
  13. 13.89020 ÷ 98 =
  14. 14.672 ÷ 8 =
  15. 15.36641 ÷ 98 =
  16. 16.4229 ÷ 88 =
  17. 17.21577 ÷ 88 =
  18. 18.459406 ÷ 989 =
  19. 19.794959 ÷ 998 =
  20. 20.640445 ÷ 998 =
  21. 21.67568 ÷ 88 =
  22. 22.58074 ÷ 96 =
  23. 23.25692 ÷ 97 =
  24. 24.18514 ÷ 96 =
  25. 25.91870 ÷ 97 =
  26. 26.91967 ÷ 97 =
  27. 27.77996 ÷ 97 =
  28. 28.164631 ÷ 988 =
  29. 29.80129 ÷ 89 =
  30. 30.708492 ÷ 997 =
  31. 31.865896 ÷ 897 =
  32. 32.42929 ÷ 98 =
  33. 33.897816 ÷ 988 =
  34. 34.57122 ÷ 98 =
  35. 35.649605 ÷ 988 =
  36. 36.94195 ÷ 88 =
  37. 37.51726 ÷ 96 =
  38. 38.103371 ÷ 897 =
  39. 39.39826 ÷ 98 =
  40. 40.66592 ÷ 88 =

Answer key

  1. 772 rem 632
  2. 527 rem 6
  3. 25 rem 135
  4. 87 rem 3
  5. 230 rem 16
  6. 712 rem 1
  7. 372 rem 52
  8. 593 rem 81
  9. 614 rem 18
  10. 236 rem 474
  11. 442 rem 12
  12. 298 rem 3
  13. 908 rem 36
  14. 84 rem 0
  15. 373 rem 87
  16. 48 rem 5
  17. 245 rem 17
  18. 464 rem 510
  19. 796 rem 551
  20. 641 rem 727
  21. 767 rem 72
  22. 604 rem 90
  23. 264 rem 84
  24. 192 rem 82
  25. 947 rem 11
  26. 948 rem 11
  27. 804 rem 8
  28. 166 rem 623
  29. 900 rem 29
  30. 710 rem 622
  31. 965 rem 291
  32. 438 rem 5
  33. 908 rem 712
  34. 582 rem 86
  35. 657 rem 489
  36. 1070 rem 35
  37. 538 rem 78
  38. 115 rem 216
  39. 406 rem 38
  40. 756 rem 64

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