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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 28 · 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. 1.84810 ÷ 96 =
  2. 2.815162 ÷ 989 =
  3. 3.28352 ÷ 997 =
  4. 4.59473 ÷ 97 =
  5. 5.87678 ÷ 998 =
  6. 6.2448 ÷ 89 =
  7. 7.266476 ÷ 988 =
  8. 8.2853 ÷ 89 =
  9. 9.32363 ÷ 96 =
  10. 10.114040 ÷ 989 =
  11. 11.55981 ÷ 88 =
  12. 12.24601 ÷ 98 =
  13. 13.303377 ÷ 988 =
  14. 14.26996 ÷ 98 =
  15. 15.649420 ÷ 989 =
  16. 16.51869 ÷ 88 =
  17. 17.2161 ÷ 8 =
  18. 18.600588 ÷ 997 =
  19. 19.3567 ÷ 8 =
  20. 20.93076 ÷ 88 =
  21. 21.23360 ÷ 96 =
  22. 22.300977 ÷ 989 =
  23. 23.94690 ÷ 88 =
  24. 24.707924 ÷ 989 =
  25. 25.108321 ÷ 988 =
  26. 26.316422 ÷ 988 =
  27. 27.151159 ÷ 897 =
  28. 28.55320 ÷ 989 =
  29. 29.606380 ÷ 989 =
  30. 30.10731 ÷ 89 =
  31. 31.59412 ÷ 96 =
  32. 32.2901 ÷ 8 =
  33. 33.957971 ÷ 998 =
  34. 34.751026 ÷ 989 =
  35. 35.7223 ÷ 97 =
  36. 36.465793 ÷ 997 =
  37. 37.656185 ÷ 988 =
  38. 38.948289 ÷ 998 =
  39. 39.217334 ÷ 897 =
  40. 40.256328 ÷ 997 =

Answer key

  1. 883 rem 42
  2. 824 rem 226
  3. 28 rem 436
  4. 613 rem 12
  5. 87 rem 852
  6. 27 rem 45
  7. 269 rem 704
  8. 32 rem 5
  9. 337 rem 11
  10. 115 rem 305
  11. 636 rem 13
  12. 251 rem 3
  13. 307 rem 61
  14. 275 rem 46
  15. 656 rem 636
  16. 589 rem 37
  17. 270 rem 1
  18. 602 rem 394
  19. 445 rem 7
  20. 1057 rem 60
  21. 243 rem 32
  22. 304 rem 321
  23. 1076 rem 2
  24. 715 rem 789
  25. 109 rem 629
  26. 320 rem 262
  27. 168 rem 463
  28. 55 rem 925
  29. 613 rem 123
  30. 120 rem 51
  31. 618 rem 84
  32. 362 rem 5
  33. 959 rem 889
  34. 759 rem 375
  35. 74 rem 45
  36. 467 rem 194
  37. 664 rem 153
  38. 950 rem 189
  39. 242 rem 260
  40. 257 rem 99

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