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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 164 · 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. 1.8723 ÷ 96 =
  2. 2.429816 ÷ 998 =
  3. 3.9606 ÷ 8 =
  4. 4.69157 ÷ 89 =
  5. 5.75535 ÷ 98 =
  6. 6.27740 ÷ 98 =
  7. 7.3626 ÷ 8 =
  8. 8.68038 ÷ 98 =
  9. 9.30486 ÷ 897 =
  10. 10.48415 ÷ 88 =
  11. 11.83986 ÷ 96 =
  12. 12.502421 ÷ 897 =
  13. 13.19979 ÷ 97 =
  14. 14.59077 ÷ 96 =
  15. 15.282002 ÷ 998 =
  16. 16.3664 ÷ 88 =
  17. 17.70393 ÷ 97 =
  18. 18.5875 ÷ 98 =
  19. 19.88762 ÷ 98 =
  20. 20.64694 ÷ 989 =
  21. 21.25275 ÷ 98 =
  22. 22.258626 ÷ 998 =
  23. 23.68310 ÷ 97 =
  24. 24.16672 ÷ 97 =
  25. 25.67173 ÷ 98 =
  26. 26.2887 ÷ 8 =
  27. 27.843381 ÷ 998 =
  28. 28.7993 ÷ 8 =
  29. 29.188476 ÷ 998 =
  30. 30.229037 ÷ 897 =
  31. 31.22947 ÷ 96 =
  32. 32.181 ÷ 8 =
  33. 33.66833 ÷ 88 =
  34. 34.399031 ÷ 897 =
  35. 35.9606 ÷ 8 =
  36. 36.88652 ÷ 88 =
  37. 37.29805 ÷ 97 =
  38. 38.551148 ÷ 997 =
  39. 39.50494 ÷ 89 =
  40. 40.20954 ÷ 97 =

Answer key

  1. 90 rem 83
  2. 430 rem 676
  3. 1200 rem 6
  4. 777 rem 4
  5. 770 rem 75
  6. 283 rem 6
  7. 453 rem 2
  8. 694 rem 26
  9. 33 rem 885
  10. 550 rem 15
  11. 874 rem 82
  12. 560 rem 101
  13. 205 rem 94
  14. 615 rem 37
  15. 282 rem 566
  16. 41 rem 56
  17. 725 rem 68
  18. 59 rem 93
  19. 905 rem 72
  20. 65 rem 409
  21. 257 rem 89
  22. 259 rem 144
  23. 704 rem 22
  24. 171 rem 85
  25. 685 rem 43
  26. 360 rem 7
  27. 845 rem 71
  28. 999 rem 1
  29. 188 rem 852
  30. 255 rem 302
  31. 239 rem 3
  32. 22 rem 5
  33. 759 rem 41
  34. 444 rem 763
  35. 1200 rem 6
  36. 1007 rem 36
  37. 307 rem 26
  38. 552 rem 804
  39. 567 rem 31
  40. 216 rem 2

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