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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 944 · 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. 1.245495 ÷ 998 =
  2. 2.1060 ÷ 8 =
  3. 3.741078 ÷ 998 =
  4. 4.296116 ÷ 997 =
  5. 5.8283 ÷ 8 =
  6. 6.70098 ÷ 88 =
  7. 7.39300 ÷ 98 =
  8. 8.66602 ÷ 97 =
  9. 9.557007 ÷ 897 =
  10. 10.38432 ÷ 97 =
  11. 11.499001 ÷ 988 =
  12. 12.49151 ÷ 96 =
  13. 13.18200 ÷ 98 =
  14. 14.34333 ÷ 997 =
  15. 15.64514 ÷ 96 =
  16. 16.662102 ÷ 989 =
  17. 17.200654 ÷ 997 =
  18. 18.27770 ÷ 98 =
  19. 19.96253 ÷ 89 =
  20. 20.39609 ÷ 97 =
  21. 21.2583 ÷ 8 =
  22. 22.820008 ÷ 988 =
  23. 23.264381 ÷ 998 =
  24. 24.768 ÷ 8 =
  25. 25.95244 ÷ 89 =
  26. 26.1587 ÷ 8 =
  27. 27.40315 ÷ 96 =
  28. 28.77324 ÷ 897 =
  29. 29.3515 ÷ 8 =
  30. 30.553839 ÷ 989 =
  31. 31.364727 ÷ 988 =
  32. 32.7255 ÷ 8 =
  33. 33.79632 ÷ 98 =
  34. 34.250760 ÷ 988 =
  35. 35.66784 ÷ 98 =
  36. 36.70064 ÷ 88 =
  37. 37.77741 ÷ 89 =
  38. 38.37157 ÷ 89 =
  39. 39.90037 ÷ 88 =
  40. 40.491798 ÷ 988 =

Answer key

  1. 245 rem 985
  2. 132 rem 4
  3. 742 rem 562
  4. 297 rem 7
  5. 1035 rem 3
  6. 796 rem 50
  7. 401 rem 2
  8. 686 rem 60
  9. 620 rem 867
  10. 396 rem 20
  11. 505 rem 61
  12. 511 rem 95
  13. 185 rem 70
  14. 34 rem 435
  15. 672 rem 2
  16. 669 rem 461
  17. 201 rem 257
  18. 283 rem 36
  19. 1081 rem 44
  20. 408 rem 33
  21. 322 rem 7
  22. 829 rem 956
  23. 264 rem 909
  24. 96 rem 0
  25. 1070 rem 14
  26. 198 rem 3
  27. 419 rem 91
  28. 86 rem 182
  29. 439 rem 3
  30. 559 rem 988
  31. 369 rem 155
  32. 906 rem 7
  33. 812 rem 56
  34. 253 rem 796
  35. 681 rem 46
  36. 796 rem 16
  37. 873 rem 44
  38. 417 rem 44
  39. 1023 rem 13
  40. 497 rem 762

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