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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 765 · 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. 1.343426 ÷ 989 =
  2. 2.3229 ÷ 8 =
  3. 3.53341 ÷ 96 =
  4. 4.289150 ÷ 988 =
  5. 5.60526 ÷ 997 =
  6. 6.95221 ÷ 88 =
  7. 7.70250 ÷ 88 =
  8. 8.74732 ÷ 98 =
  9. 9.3571 ÷ 8 =
  10. 10.176733 ÷ 997 =
  11. 11.68227 ÷ 89 =
  12. 12.434595 ÷ 989 =
  13. 13.6229 ÷ 97 =
  14. 14.5967 ÷ 98 =
  15. 15.801001 ÷ 897 =
  16. 16.62510 ÷ 97 =
  17. 17.34150 ÷ 97 =
  18. 18.146347 ÷ 988 =
  19. 19.139 ÷ 8 =
  20. 20.68575 ÷ 97 =
  21. 21.29876 ÷ 96 =
  22. 22.601269 ÷ 998 =
  23. 23.6499 ÷ 89 =
  24. 24.130520 ÷ 989 =
  25. 25.58345 ÷ 88 =
  26. 26.220729 ÷ 988 =
  27. 27.56173 ÷ 89 =
  28. 28.710072 ÷ 988 =
  29. 29.61715 ÷ 97 =
  30. 30.253433 ÷ 997 =
  31. 31.11730 ÷ 89 =
  32. 32.26920 ÷ 89 =
  33. 33.745134 ÷ 989 =
  34. 34.969094 ÷ 998 =
  35. 35.11187 ÷ 989 =
  36. 36.272269 ÷ 988 =
  37. 37.33540 ÷ 98 =
  38. 38.662842 ÷ 997 =
  39. 39.40651 ÷ 96 =
  40. 40.42149 ÷ 97 =

Answer key

  1. 347 rem 243
  2. 403 rem 5
  3. 555 rem 61
  4. 292 rem 654
  5. 60 rem 706
  6. 1082 rem 5
  7. 798 rem 26
  8. 762 rem 56
  9. 446 rem 3
  10. 177 rem 264
  11. 766 rem 53
  12. 439 rem 424
  13. 64 rem 21
  14. 60 rem 87
  15. 892 rem 877
  16. 644 rem 42
  17. 352 rem 6
  18. 148 rem 123
  19. 17 rem 3
  20. 706 rem 93
  21. 311 rem 20
  22. 602 rem 473
  23. 73 rem 2
  24. 131 rem 961
  25. 663 rem 1
  26. 223 rem 405
  27. 631 rem 14
  28. 718 rem 688
  29. 636 rem 23
  30. 254 rem 195
  31. 131 rem 71
  32. 302 rem 42
  33. 753 rem 417
  34. 971 rem 36
  35. 11 rem 308
  36. 275 rem 569
  37. 342 rem 24
  38. 664 rem 834
  39. 423 rem 43
  40. 434 rem 51

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