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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 575 · 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. 1.233247 ÷ 997 =
  2. 2.969151 ÷ 897 =
  3. 3.737433 ÷ 988 =
  4. 4.2541 ÷ 97 =
  5. 5.25193 ÷ 89 =
  6. 6.544998 ÷ 897 =
  7. 7.20260 ÷ 96 =
  8. 8.52880 ÷ 96 =
  9. 9.15087 ÷ 997 =
  10. 10.427272 ÷ 897 =
  11. 11.458409 ÷ 998 =
  12. 12.220070 ÷ 997 =
  13. 13.55025 ÷ 88 =
  14. 14.97873 ÷ 988 =
  15. 15.15119 ÷ 88 =
  16. 16.71468 ÷ 98 =
  17. 17.602231 ÷ 989 =
  18. 18.55096 ÷ 89 =
  19. 19.24137 ÷ 88 =
  20. 20.75164 ÷ 88 =
  21. 21.86879 ÷ 988 =
  22. 22.523205 ÷ 998 =
  23. 23.99721 ÷ 98 =
  24. 24.10148 ÷ 88 =
  25. 25.87586 ÷ 98 =
  26. 26.57943 ÷ 89 =
  27. 27.380651 ÷ 989 =
  28. 28.87618 ÷ 96 =
  29. 29.516575 ÷ 998 =
  30. 30.650089 ÷ 989 =
  31. 31.841096 ÷ 989 =
  32. 32.20576 ÷ 96 =
  33. 33.80856 ÷ 98 =
  34. 34.715625 ÷ 897 =
  35. 35.83009 ÷ 988 =
  36. 36.1293 ÷ 8 =
  37. 37.29306 ÷ 97 =
  38. 38.13101 ÷ 98 =
  39. 39.531168 ÷ 989 =
  40. 40.49830 ÷ 98 =

Answer key

  1. 233 rem 946
  2. 1080 rem 391
  3. 746 rem 385
  4. 26 rem 19
  5. 283 rem 6
  6. 607 rem 519
  7. 211 rem 4
  8. 550 rem 80
  9. 15 rem 132
  10. 476 rem 300
  11. 459 rem 327
  12. 220 rem 730
  13. 625 rem 25
  14. 99 rem 61
  15. 171 rem 71
  16. 729 rem 26
  17. 608 rem 919
  18. 619 rem 5
  19. 274 rem 25
  20. 854 rem 12
  21. 87 rem 923
  22. 524 rem 253
  23. 1017 rem 55
  24. 115 rem 28
  25. 893 rem 72
  26. 651 rem 4
  27. 384 rem 875
  28. 912 rem 66
  29. 517 rem 609
  30. 657 rem 316
  31. 850 rem 446
  32. 214 rem 32
  33. 825 rem 6
  34. 797 rem 716
  35. 84 rem 17
  36. 161 rem 5
  37. 302 rem 12
  38. 133 rem 67
  39. 537 rem 75
  40. 508 rem 46

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