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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 309 · 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. 1.770688 ÷ 988 =
  2. 2.214335 ÷ 997 =
  3. 3.2003 ÷ 8 =
  4. 4.96314 ÷ 89 =
  5. 5.4379 ÷ 8 =
  6. 6.453901 ÷ 897 =
  7. 7.33853 ÷ 97 =
  8. 8.958795 ÷ 988 =
  9. 9.963240 ÷ 989 =
  10. 10.79068 ÷ 98 =
  11. 11.311076 ÷ 988 =
  12. 12.591237 ÷ 998 =
  13. 13.436929 ÷ 997 =
  14. 14.34222 ÷ 98 =
  15. 15.183073 ÷ 997 =
  16. 16.716846 ÷ 989 =
  17. 17.83716 ÷ 96 =
  18. 18.959496 ÷ 989 =
  19. 19.8420 ÷ 8 =
  20. 20.980397 ÷ 997 =
  21. 21.15629 ÷ 97 =
  22. 22.27620 ÷ 98 =
  23. 23.2361 ÷ 8 =
  24. 24.742427 ÷ 988 =
  25. 25.2566 ÷ 8 =
  26. 26.2694 ÷ 8 =
  27. 27.56175 ÷ 88 =
  28. 28.698316 ÷ 897 =
  29. 29.44482 ÷ 96 =
  30. 30.96557 ÷ 96 =
  31. 31.38599 ÷ 97 =
  32. 32.43724 ÷ 97 =
  33. 33.652723 ÷ 897 =
  34. 34.87301 ÷ 96 =
  35. 35.4825 ÷ 8 =
  36. 36.9847 ÷ 8 =
  37. 37.956510 ÷ 897 =
  38. 38.401827 ÷ 988 =
  39. 39.565930 ÷ 997 =
  40. 40.96537 ÷ 98 =

Answer key

  1. 780 rem 48
  2. 214 rem 977
  3. 250 rem 3
  4. 1082 rem 16
  5. 547 rem 3
  6. 506 rem 19
  7. 349 rem 0
  8. 970 rem 435
  9. 973 rem 943
  10. 806 rem 80
  11. 314 rem 844
  12. 592 rem 421
  13. 438 rem 243
  14. 349 rem 20
  15. 183 rem 622
  16. 724 rem 810
  17. 872 rem 4
  18. 970 rem 166
  19. 1052 rem 4
  20. 983 rem 346
  21. 161 rem 12
  22. 281 rem 82
  23. 295 rem 1
  24. 751 rem 439
  25. 320 rem 6
  26. 336 rem 6
  27. 638 rem 31
  28. 778 rem 450
  29. 463 rem 34
  30. 1005 rem 77
  31. 397 rem 90
  32. 450 rem 74
  33. 727 rem 604
  34. 909 rem 37
  35. 603 rem 1
  36. 1230 rem 7
  37. 1066 rem 308
  38. 406 rem 699
  39. 567 rem 631
  40. 985 rem 7

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