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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 778 · 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. 1.475679 ÷ 989 =
  2. 2.8846 ÷ 97 =
  3. 3.5488 ÷ 8 =
  4. 4.6758 ÷ 98 =
  5. 5.917969 ÷ 989 =
  6. 6.36566 ÷ 98 =
  7. 7.43709 ÷ 97 =
  8. 8.4063 ÷ 8 =
  9. 9.29313 ÷ 98 =
  10. 10.23375 ÷ 89 =
  11. 11.4901 ÷ 8 =
  12. 12.91220 ÷ 89 =
  13. 13.36942 ÷ 96 =
  14. 14.658034 ÷ 988 =
  15. 15.21890 ÷ 989 =
  16. 16.76378 ÷ 96 =
  17. 17.583607 ÷ 989 =
  18. 18.724722 ÷ 989 =
  19. 19.162190 ÷ 988 =
  20. 20.91988 ÷ 89 =
  21. 21.749721 ÷ 997 =
  22. 22.84399 ÷ 97 =
  23. 23.99076 ÷ 98 =
  24. 24.834399 ÷ 997 =
  25. 25.498489 ÷ 989 =
  26. 26.57244 ÷ 97 =
  27. 27.64158 ÷ 96 =
  28. 28.939335 ÷ 998 =
  29. 29.3441 ÷ 88 =
  30. 30.78964 ÷ 88 =
  31. 31.59784 ÷ 98 =
  32. 32.4329 ÷ 97 =
  33. 33.790269 ÷ 997 =
  34. 34.894488 ÷ 897 =
  35. 35.82984 ÷ 88 =
  36. 36.717958 ÷ 998 =
  37. 37.20998 ÷ 96 =
  38. 38.8279 ÷ 88 =
  39. 39.39541 ÷ 96 =
  40. 40.967089 ÷ 998 =

Answer key

  1. 480 rem 959
  2. 91 rem 19
  3. 686 rem 0
  4. 68 rem 94
  5. 928 rem 177
  6. 373 rem 12
  7. 450 rem 59
  8. 507 rem 7
  9. 299 rem 11
  10. 262 rem 57
  11. 612 rem 5
  12. 1024 rem 84
  13. 384 rem 78
  14. 666 rem 26
  15. 22 rem 132
  16. 795 rem 58
  17. 590 rem 97
  18. 732 rem 774
  19. 164 rem 158
  20. 1033 rem 51
  21. 751 rem 974
  22. 870 rem 9
  23. 1010 rem 96
  24. 836 rem 907
  25. 504 rem 33
  26. 590 rem 14
  27. 668 rem 30
  28. 941 rem 217
  29. 39 rem 9
  30. 897 rem 28
  31. 610 rem 4
  32. 44 rem 61
  33. 792 rem 645
  34. 997 rem 179
  35. 943 rem 0
  36. 719 rem 396
  37. 218 rem 70
  38. 94 rem 7
  39. 411 rem 85
  40. 969 rem 27

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