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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 276 · 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. 1.389278 ÷ 998 =
  2. 2.93833 ÷ 88 =
  3. 3.4413 ÷ 8 =
  4. 4.40856 ÷ 97 =
  5. 5.49248 ÷ 88 =
  6. 6.551773 ÷ 998 =
  7. 7.272374 ÷ 997 =
  8. 8.870 ÷ 8 =
  9. 9.70283 ÷ 97 =
  10. 10.483280 ÷ 998 =
  11. 11.62237 ÷ 98 =
  12. 12.26221 ÷ 88 =
  13. 13.4180 ÷ 8 =
  14. 14.892270 ÷ 988 =
  15. 15.893706 ÷ 997 =
  16. 16.287344 ÷ 997 =
  17. 17.8851 ÷ 97 =
  18. 18.415271 ÷ 989 =
  19. 19.377519 ÷ 989 =
  20. 20.49457 ÷ 89 =
  21. 21.313 ÷ 8 =
  22. 22.8452 ÷ 8 =
  23. 23.2398 ÷ 8 =
  24. 24.96639 ÷ 89 =
  25. 25.770223 ÷ 989 =
  26. 26.952985 ÷ 897 =
  27. 27.11260 ÷ 96 =
  28. 28.25519 ÷ 98 =
  29. 29.258020 ÷ 897 =
  30. 30.66552 ÷ 96 =
  31. 31.86217 ÷ 98 =
  32. 32.136988 ÷ 997 =
  33. 33.54554 ÷ 96 =
  34. 34.4373 ÷ 96 =
  35. 35.60254 ÷ 897 =
  36. 36.84033 ÷ 96 =
  37. 37.618816 ÷ 997 =
  38. 38.208775 ÷ 997 =
  39. 39.26752 ÷ 96 =
  40. 40.8772 ÷ 96 =

Answer key

  1. 390 rem 58
  2. 1066 rem 25
  3. 551 rem 5
  4. 421 rem 19
  5. 559 rem 56
  6. 552 rem 877
  7. 273 rem 193
  8. 108 rem 6
  9. 724 rem 55
  10. 484 rem 248
  11. 635 rem 7
  12. 297 rem 85
  13. 522 rem 4
  14. 903 rem 106
  15. 896 rem 394
  16. 288 rem 208
  17. 91 rem 24
  18. 419 rem 880
  19. 381 rem 710
  20. 555 rem 62
  21. 39 rem 1
  22. 1056 rem 4
  23. 299 rem 6
  24. 1085 rem 74
  25. 778 rem 781
  26. 1062 rem 371
  27. 117 rem 28
  28. 260 rem 39
  29. 287 rem 581
  30. 693 rem 24
  31. 879 rem 75
  32. 137 rem 399
  33. 568 rem 26
  34. 45 rem 53
  35. 67 rem 155
  36. 875 rem 33
  37. 620 rem 676
  38. 209 rem 402
  39. 278 rem 64
  40. 91 rem 36

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