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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 577 · 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. 1.338987 ÷ 997 =
  2. 2.52016 ÷ 88 =
  3. 3.152 ÷ 8 =
  4. 4.956810 ÷ 997 =
  5. 5.33818 ÷ 98 =
  6. 6.36148 ÷ 89 =
  7. 7.56946 ÷ 89 =
  8. 8.882062 ÷ 998 =
  9. 9.464680 ÷ 989 =
  10. 10.71252 ÷ 98 =
  11. 11.611575 ÷ 989 =
  12. 12.90075 ÷ 98 =
  13. 13.223930 ÷ 989 =
  14. 14.624503 ÷ 998 =
  15. 15.85750 ÷ 98 =
  16. 16.91002 ÷ 96 =
  17. 17.824850 ÷ 998 =
  18. 18.14248 ÷ 89 =
  19. 19.275472 ÷ 989 =
  20. 20.41197 ÷ 96 =
  21. 21.45817 ÷ 998 =
  22. 22.2504 ÷ 8 =
  23. 23.67565 ÷ 98 =
  24. 24.225244 ÷ 989 =
  25. 25.38261 ÷ 89 =
  26. 26.778185 ÷ 897 =
  27. 27.40090 ÷ 97 =
  28. 28.96002 ÷ 96 =
  29. 29.128562 ÷ 897 =
  30. 30.55189 ÷ 89 =
  31. 31.701590 ÷ 897 =
  32. 32.17822 ÷ 88 =
  33. 33.27797 ÷ 97 =
  34. 34.620528 ÷ 998 =
  35. 35.3081 ÷ 8 =
  36. 36.18433 ÷ 89 =
  37. 37.977116 ÷ 998 =
  38. 38.94511 ÷ 96 =
  39. 39.75782 ÷ 98 =
  40. 40.22545 ÷ 98 =

Answer key

  1. 340 rem 7
  2. 591 rem 8
  3. 19 rem 0
  4. 959 rem 687
  5. 345 rem 8
  6. 406 rem 14
  7. 639 rem 75
  8. 883 rem 828
  9. 469 rem 839
  10. 727 rem 6
  11. 618 rem 373
  12. 919 rem 13
  13. 226 rem 416
  14. 625 rem 753
  15. 875 rem 0
  16. 947 rem 90
  17. 826 rem 502
  18. 160 rem 8
  19. 278 rem 530
  20. 429 rem 13
  21. 45 rem 907
  22. 313 rem 0
  23. 689 rem 43
  24. 227 rem 741
  25. 429 rem 80
  26. 867 rem 486
  27. 413 rem 29
  28. 1000 rem 2
  29. 143 rem 291
  30. 620 rem 9
  31. 782 rem 136
  32. 202 rem 46
  33. 286 rem 55
  34. 621 rem 770
  35. 385 rem 1
  36. 207 rem 10
  37. 979 rem 74
  38. 984 rem 47
  39. 773 rem 28
  40. 230 rem 5

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