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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 559 · 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. 1.363823 ÷ 897 =
  2. 2.205449 ÷ 988 =
  3. 3.91302 ÷ 89 =
  4. 4.34065 ÷ 97 =
  5. 5.19111 ÷ 97 =
  6. 6.350887 ÷ 997 =
  7. 7.84733 ÷ 98 =
  8. 8.4694 ÷ 8 =
  9. 9.37095 ÷ 88 =
  10. 10.7546 ÷ 8 =
  11. 11.91886 ÷ 96 =
  12. 12.278451 ÷ 998 =
  13. 13.281346 ÷ 997 =
  14. 14.70390 ÷ 96 =
  15. 15.60051 ÷ 998 =
  16. 16.31587 ÷ 96 =
  17. 17.5306 ÷ 8 =
  18. 18.52916 ÷ 897 =
  19. 19.5497 ÷ 96 =
  20. 20.866855 ÷ 997 =
  21. 21.87384 ÷ 97 =
  22. 22.2459 ÷ 8 =
  23. 23.1219 ÷ 8 =
  24. 24.39977 ÷ 89 =
  25. 25.37980 ÷ 98 =
  26. 26.79360 ÷ 88 =
  27. 27.18385 ÷ 88 =
  28. 28.30625 ÷ 97 =
  29. 29.59895 ÷ 98 =
  30. 30.146534 ÷ 989 =
  31. 31.84464 ÷ 89 =
  32. 32.416937 ÷ 988 =
  33. 33.82727 ÷ 97 =
  34. 34.23795 ÷ 89 =
  35. 35.77289 ÷ 89 =
  36. 36.15157 ÷ 88 =
  37. 37.348538 ÷ 997 =
  38. 38.74166 ÷ 88 =
  39. 39.770821 ÷ 897 =
  40. 40.636568 ÷ 897 =

Answer key

  1. 405 rem 538
  2. 207 rem 933
  3. 1025 rem 77
  4. 351 rem 18
  5. 197 rem 2
  6. 351 rem 940
  7. 864 rem 61
  8. 586 rem 6
  9. 421 rem 47
  10. 943 rem 2
  11. 957 rem 14
  12. 279 rem 9
  13. 282 rem 192
  14. 733 rem 22
  15. 60 rem 171
  16. 329 rem 3
  17. 663 rem 2
  18. 58 rem 890
  19. 57 rem 25
  20. 869 rem 462
  21. 900 rem 84
  22. 307 rem 3
  23. 152 rem 3
  24. 449 rem 16
  25. 387 rem 54
  26. 901 rem 72
  27. 208 rem 81
  28. 315 rem 70
  29. 611 rem 17
  30. 148 rem 162
  31. 949 rem 3
  32. 422 rem 1
  33. 852 rem 83
  34. 267 rem 32
  35. 868 rem 37
  36. 172 rem 21
  37. 349 rem 585
  38. 842 rem 70
  39. 859 rem 298
  40. 709 rem 595

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