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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 79 · 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. 1.769564 ÷ 997 =
  2. 2.636773 ÷ 989 =
  3. 3.67709 ÷ 98 =
  4. 4.885024 ÷ 997 =
  5. 5.281 ÷ 8 =
  6. 6.4739 ÷ 8 =
  7. 7.63600 ÷ 988 =
  8. 8.55576 ÷ 88 =
  9. 9.49420 ÷ 98 =
  10. 10.42822 ÷ 97 =
  11. 11.85218 ÷ 98 =
  12. 12.746808 ÷ 989 =
  13. 13.902664 ÷ 997 =
  14. 14.686317 ÷ 988 =
  15. 15.548837 ÷ 897 =
  16. 16.71484 ÷ 989 =
  17. 17.6494 ÷ 8 =
  18. 18.765961 ÷ 988 =
  19. 19.20246 ÷ 89 =
  20. 20.60071 ÷ 89 =
  21. 21.23635 ÷ 88 =
  22. 22.39248 ÷ 89 =
  23. 23.15672 ÷ 96 =
  24. 24.8344 ÷ 8 =
  25. 25.544036 ÷ 988 =
  26. 26.748390 ÷ 998 =
  27. 27.583368 ÷ 897 =
  28. 28.94681 ÷ 97 =
  29. 29.933511 ÷ 997 =
  30. 30.679484 ÷ 998 =
  31. 31.615427 ÷ 989 =
  32. 32.58547 ÷ 88 =
  33. 33.265683 ÷ 897 =
  34. 34.49657 ÷ 997 =
  35. 35.98692 ÷ 88 =
  36. 36.46391 ÷ 98 =
  37. 37.184508 ÷ 998 =
  38. 38.927732 ÷ 998 =
  39. 39.611415 ÷ 897 =
  40. 40.4524 ÷ 8 =

Answer key

  1. 771 rem 877
  2. 643 rem 846
  3. 690 rem 89
  4. 887 rem 685
  5. 35 rem 1
  6. 592 rem 3
  7. 64 rem 368
  8. 631 rem 48
  9. 504 rem 28
  10. 441 rem 45
  11. 869 rem 56
  12. 755 rem 113
  13. 905 rem 379
  14. 694 rem 645
  15. 611 rem 770
  16. 72 rem 276
  17. 811 rem 6
  18. 775 rem 261
  19. 227 rem 43
  20. 674 rem 85
  21. 268 rem 51
  22. 440 rem 88
  23. 163 rem 24
  24. 1043 rem 0
  25. 550 rem 636
  26. 749 rem 888
  27. 650 rem 318
  28. 976 rem 9
  29. 936 rem 319
  30. 680 rem 844
  31. 622 rem 269
  32. 665 rem 27
  33. 296 rem 171
  34. 49 rem 804
  35. 1121 rem 44
  36. 473 rem 37
  37. 184 rem 876
  38. 929 rem 590
  39. 681 rem 558
  40. 565 rem 4

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