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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 357 · 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. 1.89159 ÷ 88 =
  2. 2.51756 ÷ 96 =
  3. 3.604059 ÷ 897 =
  4. 4.36469 ÷ 89 =
  5. 5.983749 ÷ 997 =
  6. 6.66379 ÷ 88 =
  7. 7.55444 ÷ 88 =
  8. 8.9225 ÷ 8 =
  9. 9.98956 ÷ 96 =
  10. 10.23987 ÷ 98 =
  11. 11.26550 ÷ 98 =
  12. 12.3003 ÷ 8 =
  13. 13.525342 ÷ 897 =
  14. 14.134642 ÷ 988 =
  15. 15.83796 ÷ 89 =
  16. 16.623962 ÷ 988 =
  17. 17.929017 ÷ 988 =
  18. 18.25799 ÷ 96 =
  19. 19.10074 ÷ 89 =
  20. 20.841382 ÷ 989 =
  21. 21.837094 ÷ 989 =
  22. 22.25874 ÷ 89 =
  23. 23.17865 ÷ 88 =
  24. 24.922111 ÷ 997 =
  25. 25.638646 ÷ 989 =
  26. 26.106367 ÷ 897 =
  27. 27.714362 ÷ 989 =
  28. 28.21457 ÷ 96 =
  29. 29.29273 ÷ 98 =
  30. 30.6440 ÷ 8 =
  31. 31.35527 ÷ 96 =
  32. 32.23145 ÷ 98 =
  33. 33.619912 ÷ 988 =
  34. 34.76019 ÷ 89 =
  35. 35.850560 ÷ 989 =
  36. 36.91361 ÷ 96 =
  37. 37.348462 ÷ 897 =
  38. 38.433791 ÷ 997 =
  39. 39.282458 ÷ 989 =
  40. 40.67982 ÷ 96 =

Answer key

  1. 1013 rem 15
  2. 539 rem 12
  3. 673 rem 378
  4. 409 rem 68
  5. 986 rem 707
  6. 754 rem 27
  7. 630 rem 4
  8. 1153 rem 1
  9. 1030 rem 76
  10. 244 rem 75
  11. 270 rem 90
  12. 375 rem 3
  13. 585 rem 597
  14. 136 rem 274
  15. 941 rem 47
  16. 631 rem 534
  17. 940 rem 297
  18. 268 rem 71
  19. 113 rem 17
  20. 850 rem 732
  21. 846 rem 400
  22. 290 rem 64
  23. 203 rem 1
  24. 924 rem 883
  25. 645 rem 741
  26. 118 rem 521
  27. 722 rem 304
  28. 223 rem 49
  29. 298 rem 69
  30. 805 rem 0
  31. 370 rem 7
  32. 236 rem 17
  33. 627 rem 436
  34. 854 rem 13
  35. 860 rem 20
  36. 951 rem 65
  37. 388 rem 426
  38. 435 rem 96
  39. 285 rem 593
  40. 708 rem 14

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