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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 517 · 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. 1.2088 ÷ 8 =
  2. 2.562047 ÷ 997 =
  3. 3.6380 ÷ 8 =
  4. 4.30146 ÷ 97 =
  5. 5.4608 ÷ 89 =
  6. 6.8410 ÷ 8 =
  7. 7.37329 ÷ 98 =
  8. 8.159127 ÷ 997 =
  9. 9.729033 ÷ 897 =
  10. 10.1846 ÷ 88 =
  11. 11.61844 ÷ 97 =
  12. 12.735869 ÷ 997 =
  13. 13.4182 ÷ 8 =
  14. 14.33420 ÷ 96 =
  15. 15.47888 ÷ 88 =
  16. 16.814611 ÷ 998 =
  17. 17.494926 ÷ 989 =
  18. 18.9546 ÷ 8 =
  19. 19.79495 ÷ 988 =
  20. 20.901728 ÷ 897 =
  21. 21.688271 ÷ 998 =
  22. 22.441840 ÷ 989 =
  23. 23.805031 ÷ 989 =
  24. 24.182908 ÷ 998 =
  25. 25.96021 ÷ 96 =
  26. 26.33683 ÷ 97 =
  27. 27.551984 ÷ 989 =
  28. 28.2264 ÷ 8 =
  29. 29.4792 ÷ 8 =
  30. 30.251605 ÷ 988 =
  31. 31.38738 ÷ 97 =
  32. 32.32095 ÷ 998 =
  33. 33.233860 ÷ 988 =
  34. 34.15991 ÷ 98 =
  35. 35.309491 ÷ 997 =
  36. 36.842226 ÷ 988 =
  37. 37.326345 ÷ 988 =
  38. 38.949582 ÷ 997 =
  39. 39.64892 ÷ 97 =
  40. 40.94134 ÷ 96 =

Answer key

  1. 261 rem 0
  2. 563 rem 736
  3. 797 rem 4
  4. 310 rem 76
  5. 51 rem 69
  6. 1051 rem 2
  7. 380 rem 89
  8. 159 rem 604
  9. 812 rem 669
  10. 20 rem 86
  11. 637 rem 55
  12. 738 rem 83
  13. 522 rem 6
  14. 348 rem 12
  15. 544 rem 16
  16. 816 rem 243
  17. 500 rem 426
  18. 1193 rem 2
  19. 80 rem 455
  20. 1005 rem 243
  21. 689 rem 649
  22. 446 rem 746
  23. 813 rem 974
  24. 183 rem 274
  25. 1000 rem 21
  26. 347 rem 24
  27. 558 rem 122
  28. 283 rem 0
  29. 599 rem 0
  30. 254 rem 653
  31. 399 rem 35
  32. 32 rem 159
  33. 236 rem 692
  34. 163 rem 17
  35. 310 rem 421
  36. 852 rem 450
  37. 330 rem 305
  38. 952 rem 438
  39. 668 rem 96
  40. 980 rem 54

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