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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 502 · 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. 1.926622 ÷ 897 =
  2. 2.2008 ÷ 98 =
  3. 3.10790 ÷ 89 =
  4. 4.84364 ÷ 89 =
  5. 5.53469 ÷ 97 =
  6. 6.888445 ÷ 988 =
  7. 7.151107 ÷ 897 =
  8. 8.79254 ÷ 98 =
  9. 9.50533 ÷ 96 =
  10. 10.76580 ÷ 88 =
  11. 11.186898 ÷ 988 =
  12. 12.96817 ÷ 98 =
  13. 13.331842 ÷ 998 =
  14. 14.61980 ÷ 98 =
  15. 15.83510 ÷ 88 =
  16. 16.6231 ÷ 98 =
  17. 17.223781 ÷ 997 =
  18. 18.4623 ÷ 8 =
  19. 19.1846 ÷ 8 =
  20. 20.704391 ÷ 998 =
  21. 21.76478 ÷ 998 =
  22. 22.594642 ÷ 988 =
  23. 23.67290 ÷ 98 =
  24. 24.8033 ÷ 8 =
  25. 25.33735 ÷ 88 =
  26. 26.157071 ÷ 989 =
  27. 27.954400 ÷ 897 =
  28. 28.98842 ÷ 97 =
  29. 29.38980 ÷ 89 =
  30. 30.64193 ÷ 98 =
  31. 31.741591 ÷ 989 =
  32. 32.295623 ÷ 998 =
  33. 33.35482 ÷ 98 =
  34. 34.135156 ÷ 997 =
  35. 35.8515 ÷ 98 =
  36. 36.4561 ÷ 97 =
  37. 37.282027 ÷ 998 =
  38. 38.939191 ÷ 997 =
  39. 39.963776 ÷ 989 =
  40. 40.793994 ÷ 989 =

Answer key

  1. 1033 rem 21
  2. 20 rem 48
  3. 121 rem 21
  4. 947 rem 81
  5. 551 rem 22
  6. 899 rem 233
  7. 168 rem 411
  8. 808 rem 70
  9. 526 rem 37
  10. 870 rem 20
  11. 189 rem 166
  12. 987 rem 91
  13. 332 rem 506
  14. 632 rem 44
  15. 948 rem 86
  16. 63 rem 57
  17. 224 rem 453
  18. 577 rem 7
  19. 230 rem 6
  20. 705 rem 801
  21. 76 rem 630
  22. 601 rem 854
  23. 686 rem 62
  24. 1004 rem 1
  25. 383 rem 31
  26. 158 rem 809
  27. 1063 rem 889
  28. 1018 rem 96
  29. 437 rem 87
  30. 655 rem 3
  31. 749 rem 830
  32. 296 rem 215
  33. 362 rem 6
  34. 135 rem 561
  35. 86 rem 87
  36. 47 rem 2
  37. 282 rem 591
  38. 942 rem 17
  39. 974 rem 490
  40. 802 rem 816

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