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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 128 · 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. 1.84360 ÷ 96 =
  2. 2.529573 ÷ 989 =
  3. 3.2996 ÷ 8 =
  4. 4.14547 ÷ 89 =
  5. 5.85766 ÷ 897 =
  6. 6.27498 ÷ 96 =
  7. 7.701179 ÷ 989 =
  8. 8.9044 ÷ 8 =
  9. 9.10076 ÷ 97 =
  10. 10.792320 ÷ 897 =
  11. 11.417841 ÷ 897 =
  12. 12.63333 ÷ 98 =
  13. 13.41226 ÷ 96 =
  14. 14.570226 ÷ 897 =
  15. 15.93663 ÷ 89 =
  16. 16.147417 ÷ 989 =
  17. 17.75491 ÷ 97 =
  18. 18.763283 ÷ 989 =
  19. 19.84708 ÷ 96 =
  20. 20.45089 ÷ 96 =
  21. 21.484808 ÷ 897 =
  22. 22.500788 ÷ 989 =
  23. 23.51630 ÷ 96 =
  24. 24.75653 ÷ 89 =
  25. 25.28387 ÷ 96 =
  26. 26.12940 ÷ 96 =
  27. 27.5043 ÷ 8 =
  28. 28.39530 ÷ 96 =
  29. 29.8340 ÷ 8 =
  30. 30.5669 ÷ 8 =
  31. 31.2078 ÷ 8 =
  32. 32.427415 ÷ 997 =
  33. 33.48832 ÷ 88 =
  34. 34.750863 ÷ 997 =
  35. 35.40637 ÷ 88 =
  36. 36.2869 ÷ 8 =
  37. 37.81892 ÷ 96 =
  38. 38.6610 ÷ 8 =
  39. 39.512939 ÷ 997 =
  40. 40.5404 ÷ 8 =

Answer key

  1. 878 rem 72
  2. 535 rem 458
  3. 374 rem 4
  4. 163 rem 40
  5. 95 rem 551
  6. 286 rem 42
  7. 708 rem 967
  8. 1130 rem 4
  9. 103 rem 85
  10. 883 rem 269
  11. 465 rem 736
  12. 646 rem 25
  13. 429 rem 42
  14. 635 rem 631
  15. 1052 rem 35
  16. 149 rem 56
  17. 778 rem 25
  18. 771 rem 764
  19. 882 rem 36
  20. 469 rem 65
  21. 540 rem 428
  22. 506 rem 354
  23. 537 rem 78
  24. 850 rem 3
  25. 295 rem 67
  26. 134 rem 76
  27. 630 rem 3
  28. 411 rem 74
  29. 1042 rem 4
  30. 708 rem 5
  31. 259 rem 6
  32. 428 rem 699
  33. 554 rem 80
  34. 753 rem 122
  35. 461 rem 69
  36. 358 rem 5
  37. 853 rem 4
  38. 826 rem 2
  39. 514 rem 481
  40. 675 rem 4

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